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Finding the Fourth Proportional to 5,030.25, 7,545.16 and 1,743.27

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Solution

The fourth proportional to 5,030.25, 7,545.16 and 1,743.27 is: 2,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030.25 : 7,545.16 = 1,743.27 : x
  2. Step 2: Convert to fraction form
    5,030.25/7,545.16 = 1,743.27/x
  3. Step 3: Cross multiply
    5,030.25x = 7,545.16 × 1,743.27
  4. Step 4: Simplify right side
    5,030.25x = 13,153,251.07
  5. Step 5: Solve for x
    x = 13,153,251.07/5,030.25
  6. Step 6: Final answer
    x = 2,614.83

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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.