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Finding the Fourth Proportional to 3,892.32, 5,838.68 and 2,969.32

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Solution

The fourth proportional to 3,892.32, 5,838.68 and 2,969.32 is: 4,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.32 : 5,838.68 = 2,969.32 : x
  2. Step 2: Convert to fraction form
    3,892.32/5,838.68 = 2,969.32/x
  3. Step 3: Cross multiply
    3,892.32x = 5,838.68 × 2,969.32
  4. Step 4: Simplify right side
    3,892.32x = 17,336,909.30
  5. Step 5: Solve for x
    x = 17,336,909.30/3,892.32
  6. Step 6: Final answer
    x = 4,454.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.