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Finding the Fourth Proportional to 3,887.38, 5,832.49 and 2,427.76

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Solution

The fourth proportional to 3,887.38, 5,832.49 and 2,427.76 is: 3,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.38 : 5,832.49 = 2,427.76 : x
  2. Step 2: Convert to fraction form
    3,887.38/5,832.49 = 2,427.76/x
  3. Step 3: Cross multiply
    3,887.38x = 5,832.49 × 2,427.76
  4. Step 4: Simplify right side
    3,887.38x = 14,159,856.76
  5. Step 5: Solve for x
    x = 14,159,856.76/3,887.38
  6. Step 6: Final answer
    x = 3,642.52

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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.