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Finding the Fourth Proportional to 3,174.74, 4,753.59 and 2,587.34

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Solution

The fourth proportional to 3,174.74, 4,753.59 and 2,587.34 is: 3,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.74 : 4,753.59 = 2,587.34 : x
  2. Step 2: Convert to fraction form
    3,174.74/4,753.59 = 2,587.34/x
  3. Step 3: Cross multiply
    3,174.74x = 4,753.59 × 2,587.34
  4. Step 4: Simplify right side
    3,174.74x = 12,299,155.73
  5. Step 5: Solve for x
    x = 12,299,155.73/3,174.74
  6. Step 6: Final answer
    x = 3,874.06

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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.