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Finding the Fourth Proportional to 6,562.24, 9,052.56 and 3,766

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Solution

The fourth proportional to 6,562.24, 9,052.56 and 3,766 is: 5,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.24 : 9,052.56 = 3,766 : x
  2. Step 2: Convert to fraction form
    6,562.24/9,052.56 = 3,766/x
  3. Step 3: Cross multiply
    6,562.24x = 9,052.56 × 3,766
  4. Step 4: Simplify right side
    6,562.24x = 34,091,940.96
  5. Step 5: Solve for x
    x = 34,091,940.96/6,562.24
  6. Step 6: Final answer
    x = 5,195.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.