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Finding the Fourth Proportional to 5,549.46, 7,659.12 and 3,191.10

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Solution

The fourth proportional to 5,549.46, 7,659.12 and 3,191.10 is: 4,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.46 : 7,659.12 = 3,191.10 : x
  2. Step 2: Convert to fraction form
    5,549.46/7,659.12 = 3,191.10/x
  3. Step 3: Cross multiply
    5,549.46x = 7,659.12 × 3,191.10
  4. Step 4: Simplify right side
    5,549.46x = 24,441,017.83
  5. Step 5: Solve for x
    x = 24,441,017.83/5,549.46
  6. Step 6: Final answer
    x = 4,404.22

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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.