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Finding the Fourth Proportional to 5,107.74, 7,046.03 and 3,429.73

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Solution

The fourth proportional to 5,107.74, 7,046.03 and 3,429.73 is: 4,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.74 : 7,046.03 = 3,429.73 : x
  2. Step 2: Convert to fraction form
    5,107.74/7,046.03 = 3,429.73/x
  3. Step 3: Cross multiply
    5,107.74x = 7,046.03 × 3,429.73
  4. Step 4: Simplify right side
    5,107.74x = 24,165,997.85
  5. Step 5: Solve for x
    x = 24,165,997.85/5,107.74
  6. Step 6: Final answer
    x = 4,731.25

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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.