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Finding the Fourth Proportional to 5,492.70, 7,577.01 and 4,164.21

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Solution

The fourth proportional to 5,492.70, 7,577.01 and 4,164.21 is: 5,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.70 : 7,577.01 = 4,164.21 : x
  2. Step 2: Convert to fraction form
    5,492.70/7,577.01 = 4,164.21/x
  3. Step 3: Cross multiply
    5,492.70x = 7,577.01 × 4,164.21
  4. Step 4: Simplify right side
    5,492.70x = 31,552,260.81
  5. Step 5: Solve for x
    x = 31,552,260.81/5,492.70
  6. Step 6: Final answer
    x = 5,744.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.