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Finding the Fourth Proportional to 6,545.80, 9,818.70 and 3,424.60

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Solution

The fourth proportional to 6,545.80, 9,818.70 and 3,424.60 is: 5,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.80 : 9,818.70 = 3,424.60 : x
  2. Step 2: Convert to fraction form
    6,545.80/9,818.70 = 3,424.60/x
  3. Step 3: Cross multiply
    6,545.80x = 9,818.70 × 3,424.60
  4. Step 4: Simplify right side
    6,545.80x = 33,625,120.02
  5. Step 5: Solve for x
    x = 33,625,120.02/6,545.80
  6. Step 6: Final answer
    x = 5,136.90

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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.