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Finding the Fourth Proportional to 5,705.71, 7,874.01 and 3,187.76

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Solution

The fourth proportional to 5,705.71, 7,874.01 and 3,187.76 is: 4,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.71 : 7,874.01 = 3,187.76 : x
  2. Step 2: Convert to fraction form
    5,705.71/7,874.01 = 3,187.76/x
  3. Step 3: Cross multiply
    5,705.71x = 7,874.01 × 3,187.76
  4. Step 4: Simplify right side
    5,705.71x = 25,100,414.75
  5. Step 5: Solve for x
    x = 25,100,414.75/5,705.71
  6. Step 6: Final answer
    x = 4,399.18

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Why These Related Problems?

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