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Finding the Fourth Proportional to 5,689.60, 8,534.40 and 3,721.30

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Solution

The fourth proportional to 5,689.60, 8,534.40 and 3,721.30 is: 5,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.60 : 8,534.40 = 3,721.30 : x
  2. Step 2: Convert to fraction form
    5,689.60/8,534.40 = 3,721.30/x
  3. Step 3: Cross multiply
    5,689.60x = 8,534.40 × 3,721.30
  4. Step 4: Simplify right side
    5,689.60x = 31,759,062.72
  5. Step 5: Solve for x
    x = 31,759,062.72/5,689.60
  6. Step 6: Final answer
    x = 5,581.95

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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.