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Finding the Fourth Proportional to 5,431.78, 7,489.28 and 4,591

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Solution

The fourth proportional to 5,431.78, 7,489.28 and 4,591 is: 6,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.78 : 7,489.28 = 4,591 : x
  2. Step 2: Convert to fraction form
    5,431.78/7,489.28 = 4,591/x
  3. Step 3: Cross multiply
    5,431.78x = 7,489.28 × 4,591
  4. Step 4: Simplify right side
    5,431.78x = 34,383,284.48
  5. Step 5: Solve for x
    x = 34,383,284.48/5,431.78
  6. Step 6: Final answer
    x = 6,330.02

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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.