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Finding the Fourth Proportional to 3,872.25, 5,807.70 and 1,098.54

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Solution

The fourth proportional to 3,872.25, 5,807.70 and 1,098.54 is: 1,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.25 : 5,807.70 = 1,098.54 : x
  2. Step 2: Convert to fraction form
    3,872.25/5,807.70 = 1,098.54/x
  3. Step 3: Cross multiply
    3,872.25x = 5,807.70 × 1,098.54
  4. Step 4: Simplify right side
    3,872.25x = 6,379,990.76
  5. Step 5: Solve for x
    x = 6,379,990.76/3,872.25
  6. Step 6: Final answer
    x = 1,647.62

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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.