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Finding the Fourth Proportional to 3,447.66, 4,759.14 and 3,397.04

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Solution

The fourth proportional to 3,447.66, 4,759.14 and 3,397.04 is: 4,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.66 : 4,759.14 = 3,397.04 : x
  2. Step 2: Convert to fraction form
    3,447.66/4,759.14 = 3,397.04/x
  3. Step 3: Cross multiply
    3,447.66x = 4,759.14 × 3,397.04
  4. Step 4: Simplify right side
    3,447.66x = 16,166,948.16
  5. Step 5: Solve for x
    x = 16,166,948.16/3,447.66
  6. Step 6: Final answer
    x = 4,689.25

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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.