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Finding the Fourth Proportional to 3,089.52, 4,635.48 and 2,166.96

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Solution

The fourth proportional to 3,089.52, 4,635.48 and 2,166.96 is: 3,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.52 : 4,635.48 = 2,166.96 : x
  2. Step 2: Convert to fraction form
    3,089.52/4,635.48 = 2,166.96/x
  3. Step 3: Cross multiply
    3,089.52x = 4,635.48 × 2,166.96
  4. Step 4: Simplify right side
    3,089.52x = 10,044,899.74
  5. Step 5: Solve for x
    x = 10,044,899.74/3,089.52
  6. Step 6: Final answer
    x = 3,251.28

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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.