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Finding the Fourth Proportional to 6,545.52, 9,817.20 and 2,102.58

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Solution

The fourth proportional to 6,545.52, 9,817.20 and 2,102.58 is: 3,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.52 : 9,817.20 = 2,102.58 : x
  2. Step 2: Convert to fraction form
    6,545.52/9,817.20 = 2,102.58/x
  3. Step 3: Cross multiply
    6,545.52x = 9,817.20 × 2,102.58
  4. Step 4: Simplify right side
    6,545.52x = 20,641,448.38
  5. Step 5: Solve for x
    x = 20,641,448.38/6,545.52
  6. Step 6: Final answer
    x = 3,153.52

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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.