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Finding the Fourth Proportional to 3,717.68, 5,128.80 and 2,460.32

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Solution

The fourth proportional to 3,717.68, 5,128.80 and 2,460.32 is: 3,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.68 : 5,128.80 = 2,460.32 : x
  2. Step 2: Convert to fraction form
    3,717.68/5,128.80 = 2,460.32/x
  3. Step 3: Cross multiply
    3,717.68x = 5,128.80 × 2,460.32
  4. Step 4: Simplify right side
    3,717.68x = 12,618,489.22
  5. Step 5: Solve for x
    x = 12,618,489.22/3,717.68
  6. Step 6: Final answer
    x = 3,394.18

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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.