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Finding the Fourth Proportional to 4,542.98, 6,809.66 and 2,591

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Solution

The fourth proportional to 4,542.98, 6,809.66 and 2,591 is: 3,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.98 : 6,809.66 = 2,591 : x
  2. Step 2: Convert to fraction form
    4,542.98/6,809.66 = 2,591/x
  3. Step 3: Cross multiply
    4,542.98x = 6,809.66 × 2,591
  4. Step 4: Simplify right side
    4,542.98x = 17,643,829.06
  5. Step 5: Solve for x
    x = 17,643,829.06/4,542.98
  6. Step 6: Final answer
    x = 3,883.76

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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.