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Finding the Fourth Proportional to 5,892.40, 8,832.12 and 2,427.76

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Solution

The fourth proportional to 5,892.40, 8,832.12 and 2,427.76 is: 3,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.40 : 8,832.12 = 2,427.76 : x
  2. Step 2: Convert to fraction form
    5,892.40/8,832.12 = 2,427.76/x
  3. Step 3: Cross multiply
    5,892.40x = 8,832.12 × 2,427.76
  4. Step 4: Simplify right side
    5,892.40x = 21,442,267.65
  5. Step 5: Solve for x
    x = 21,442,267.65/5,892.40
  6. Step 6: Final answer
    x = 3,638.97

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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.