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Finding the Fourth Proportional to 3,704.31, 5,113.13 and 2,585.25

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Solution

The fourth proportional to 3,704.31, 5,113.13 and 2,585.25 is: 3,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.31 : 5,113.13 = 2,585.25 : x
  2. Step 2: Convert to fraction form
    3,704.31/5,113.13 = 2,585.25/x
  3. Step 3: Cross multiply
    3,704.31x = 5,113.13 × 2,585.25
  4. Step 4: Simplify right side
    3,704.31x = 13,218,706.41
  5. Step 5: Solve for x
    x = 13,218,706.41/3,704.31
  6. Step 6: Final answer
    x = 3,568.47

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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.