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Finding the Fourth Proportional to 5,449.20, 8,164.20 and 4,681.20

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Solution

The fourth proportional to 5,449.20, 8,164.20 and 4,681.20 is: 7,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.20 : 8,164.20 = 4,681.20 : x
  2. Step 2: Convert to fraction form
    5,449.20/8,164.20 = 4,681.20/x
  3. Step 3: Cross multiply
    5,449.20x = 8,164.20 × 4,681.20
  4. Step 4: Simplify right side
    5,449.20x = 38,218,253.04
  5. Step 5: Solve for x
    x = 38,218,253.04/5,449.20
  6. Step 6: Final answer
    x = 7,013.55

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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.