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Finding the Fourth Proportional to 5,446.20, 8,166.84 and 1,549.68

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Solution

The fourth proportional to 5,446.20, 8,166.84 and 1,549.68 is: 2,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.20 : 8,166.84 = 1,549.68 : x
  2. Step 2: Convert to fraction form
    5,446.20/8,166.84 = 1,549.68/x
  3. Step 3: Cross multiply
    5,446.20x = 8,166.84 × 1,549.68
  4. Step 4: Simplify right side
    5,446.20x = 12,655,988.61
  5. Step 5: Solve for x
    x = 12,655,988.61/5,446.20
  6. Step 6: Final answer
    x = 2,323.82

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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.