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Finding the Fourth Proportional to 3,617.80, 5,426.70 and 1,020.76

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Solution

The fourth proportional to 3,617.80, 5,426.70 and 1,020.76 is: 1,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.80 : 5,426.70 = 1,020.76 : x
  2. Step 2: Convert to fraction form
    3,617.80/5,426.70 = 1,020.76/x
  3. Step 3: Cross multiply
    3,617.80x = 5,426.70 × 1,020.76
  4. Step 4: Simplify right side
    3,617.80x = 5,539,358.29
  5. Step 5: Solve for x
    x = 5,539,358.29/3,617.80
  6. Step 6: Final answer
    x = 1,531.14

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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.