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Finding the Fourth Proportional to 3,698.12, 5,545.82 and 1,505.66

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Solution

The fourth proportional to 3,698.12, 5,545.82 and 1,505.66 is: 2,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.12 : 5,545.82 = 1,505.66 : x
  2. Step 2: Convert to fraction form
    3,698.12/5,545.82 = 1,505.66/x
  3. Step 3: Cross multiply
    3,698.12x = 5,545.82 × 1,505.66
  4. Step 4: Simplify right side
    3,698.12x = 8,350,084.08
  5. Step 5: Solve for x
    x = 8,350,084.08/3,698.12
  6. Step 6: Final answer
    x = 2,257.93

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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.