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Finding the Fourth Proportional to 3,517.34, 5,275.81 and 1,052.18

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Solution

The fourth proportional to 3,517.34, 5,275.81 and 1,052.18 is: 1,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.34 : 5,275.81 = 1,052.18 : x
  2. Step 2: Convert to fraction form
    3,517.34/5,275.81 = 1,052.18/x
  3. Step 3: Cross multiply
    3,517.34x = 5,275.81 × 1,052.18
  4. Step 4: Simplify right side
    3,517.34x = 5,551,101.77
  5. Step 5: Solve for x
    x = 5,551,101.77/3,517.34
  6. Step 6: Final answer
    x = 1,578.21

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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.