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Finding the Fourth Proportional to 5,477.01, 8,209.17 and 2,549.13

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Solution

The fourth proportional to 5,477.01, 8,209.17 and 2,549.13 is: 3,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.01 : 8,209.17 = 2,549.13 : x
  2. Step 2: Convert to fraction form
    5,477.01/8,209.17 = 2,549.13/x
  3. Step 3: Cross multiply
    5,477.01x = 8,209.17 × 2,549.13
  4. Step 4: Simplify right side
    5,477.01x = 20,926,241.52
  5. Step 5: Solve for x
    x = 20,926,241.52/5,477.01
  6. Step 6: Final answer
    x = 3,820.74

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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.