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Finding the Fourth Proportional to 6,589.54, 9,877.97 and 2,427.28

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Solution

The fourth proportional to 6,589.54, 9,877.97 and 2,427.28 is: 3,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.54 : 9,877.97 = 2,427.28 : x
  2. Step 2: Convert to fraction form
    6,589.54/9,877.97 = 2,427.28/x
  3. Step 3: Cross multiply
    6,589.54x = 9,877.97 × 2,427.28
  4. Step 4: Simplify right side
    6,589.54x = 23,976,599.02
  5. Step 5: Solve for x
    x = 23,976,599.02/6,589.54
  6. Step 6: Final answer
    x = 3,638.58

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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.