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Finding the Fourth Proportional to 5,599.59, 7,728.38 and 3,243.16

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Solution

The fourth proportional to 5,599.59, 7,728.38 and 3,243.16 is: 4,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.59 : 7,728.38 = 3,243.16 : x
  2. Step 2: Convert to fraction form
    5,599.59/7,728.38 = 3,243.16/x
  3. Step 3: Cross multiply
    5,599.59x = 7,728.38 × 3,243.16
  4. Step 4: Simplify right side
    5,599.59x = 25,064,372.88
  5. Step 5: Solve for x
    x = 25,064,372.88/5,599.59
  6. Step 6: Final answer
    x = 4,476.11

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Half 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.