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Finding the Fourth Proportional to 4,073.78, 5,624.34 and 3,127.76

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Solution

The fourth proportional to 4,073.78, 5,624.34 and 3,127.76 is: 4,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.78 : 5,624.34 = 3,127.76 : x
  2. Step 2: Convert to fraction form
    4,073.78/5,624.34 = 3,127.76/x
  3. Step 3: Cross multiply
    4,073.78x = 5,624.34 × 3,127.76
  4. Step 4: Simplify right side
    4,073.78x = 17,591,585.68
  5. Step 5: Solve for x
    x = 17,591,585.68/4,073.78
  6. Step 6: Final answer
    x = 4,318.25

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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.