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Finding the Fourth Proportional to 3,980.92, 5,492.14 and 2,564.50

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Solution

The fourth proportional to 3,980.92, 5,492.14 and 2,564.50 is: 3,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.92 : 5,492.14 = 2,564.50 : x
  2. Step 2: Convert to fraction form
    3,980.92/5,492.14 = 2,564.50/x
  3. Step 3: Cross multiply
    3,980.92x = 5,492.14 × 2,564.50
  4. Step 4: Simplify right side
    3,980.92x = 14,084,586.28
  5. Step 5: Solve for x
    x = 14,084,586.28/3,980.92
  6. Step 6: Final answer
    x = 3,538.02

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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.