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Finding the Fourth Proportional to 5,498.14, 8,245.61 and 1,549.13

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Solution

The fourth proportional to 5,498.14, 8,245.61 and 1,549.13 is: 2,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.14 : 8,245.61 = 1,549.13 : x
  2. Step 2: Convert to fraction form
    5,498.14/8,245.61 = 1,549.13/x
  3. Step 3: Cross multiply
    5,498.14x = 8,245.61 × 1,549.13
  4. Step 4: Simplify right side
    5,498.14x = 12,773,480.59
  5. Step 5: Solve for x
    x = 12,773,480.59/5,498.14
  6. Step 6: Final answer
    x = 2,323.24

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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.