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Finding the Fourth Proportional to 5,449.80, 8,174.70 and 3,257.40

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Solution

The fourth proportional to 5,449.80, 8,174.70 and 3,257.40 is: 4,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.80 : 8,174.70 = 3,257.40 : x
  2. Step 2: Convert to fraction form
    5,449.80/8,174.70 = 3,257.40/x
  3. Step 3: Cross multiply
    5,449.80x = 8,174.70 × 3,257.40
  4. Step 4: Simplify right side
    5,449.80x = 26,628,267.78
  5. Step 5: Solve for x
    x = 26,628,267.78/5,449.80
  6. Step 6: Final answer
    x = 4,886.10

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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.