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Finding the Fourth Proportional to 6,565.57, 9,848.50 and 3,451.66

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Solution

The fourth proportional to 6,565.57, 9,848.50 and 3,451.66 is: 5,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.57 : 9,848.50 = 3,451.66 : x
  2. Step 2: Convert to fraction form
    6,565.57/9,848.50 = 3,451.66/x
  3. Step 3: Cross multiply
    6,565.57x = 9,848.50 × 3,451.66
  4. Step 4: Simplify right side
    6,565.57x = 33,993,640.26
  5. Step 5: Solve for x
    x = 33,993,640.26/6,565.57
  6. Step 6: Final answer
    x = 5,177.56

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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.