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Finding the Fourth Proportional to 5,149.56, 7,705.88 and 4,458.61

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Solution

The fourth proportional to 5,149.56, 7,705.88 and 4,458.61 is: 6,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.56 : 7,705.88 = 4,458.61 : x
  2. Step 2: Convert to fraction form
    5,149.56/7,705.88 = 4,458.61/x
  3. Step 3: Cross multiply
    5,149.56x = 7,705.88 × 4,458.61
  4. Step 4: Simplify right side
    5,149.56x = 34,357,517.69
  5. Step 5: Solve for x
    x = 34,357,517.69/5,149.56
  6. Step 6: Final answer
    x = 6,671.93

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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.