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Finding the Fourth Proportional to 3,711.47, 5,568.77 and 1,630.40

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Solution

The fourth proportional to 3,711.47, 5,568.77 and 1,630.40 is: 2,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.47 : 5,568.77 = 1,630.40 : x
  2. Step 2: Convert to fraction form
    3,711.47/5,568.77 = 1,630.40/x
  3. Step 3: Cross multiply
    3,711.47x = 5,568.77 × 1,630.40
  4. Step 4: Simplify right side
    3,711.47x = 9,079,322.61
  5. Step 5: Solve for x
    x = 9,079,322.61/3,711.47
  6. Step 6: Final answer
    x = 2,446.29

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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.