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Finding the Fourth Proportional to 6,545.12, 9,818.08 and 2,649.60

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Solution

The fourth proportional to 6,545.12, 9,818.08 and 2,649.60 is: 3,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.12 : 9,818.08 = 2,649.60 : x
  2. Step 2: Convert to fraction form
    6,545.12/9,818.08 = 2,649.60/x
  3. Step 3: Cross multiply
    6,545.12x = 9,818.08 × 2,649.60
  4. Step 4: Simplify right side
    6,545.12x = 26,013,984.77
  5. Step 5: Solve for x
    x = 26,013,984.77/6,545.12
  6. Step 6: Final answer
    x = 3,974.56

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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.