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Finding the Fourth Proportional to 5,381.92, 7,427.44 and 3,024.48

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Solution

The fourth proportional to 5,381.92, 7,427.44 and 3,024.48 is: 4,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.92 : 7,427.44 = 3,024.48 : x
  2. Step 2: Convert to fraction form
    5,381.92/7,427.44 = 3,024.48/x
  3. Step 3: Cross multiply
    5,381.92x = 7,427.44 × 3,024.48
  4. Step 4: Simplify right side
    5,381.92x = 22,464,143.73
  5. Step 5: Solve for x
    x = 22,464,143.73/5,381.92
  6. Step 6: Final answer
    x = 4,174.00

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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.