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Finding the Fourth Proportional to 4,892.64, 6,753.84 and 3,402.72

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Solution

The fourth proportional to 4,892.64, 6,753.84 and 3,402.72 is: 4,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.64 : 6,753.84 = 3,402.72 : x
  2. Step 2: Convert to fraction form
    4,892.64/6,753.84 = 3,402.72/x
  3. Step 3: Cross multiply
    4,892.64x = 6,753.84 × 3,402.72
  4. Step 4: Simplify right side
    4,892.64x = 22,981,426.44
  5. Step 5: Solve for x
    x = 22,981,426.44/4,892.64
  6. Step 6: Final answer
    x = 4,697.14

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