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Finding the Fourth Proportional to 5,482.68, 8,171.89 and 5,171.30

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Solution

The fourth proportional to 5,482.68, 8,171.89 and 5,171.30 is: 7,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.68 : 8,171.89 = 5,171.30 : x
  2. Step 2: Convert to fraction form
    5,482.68/8,171.89 = 5,171.30/x
  3. Step 3: Cross multiply
    5,482.68x = 8,171.89 × 5,171.30
  4. Step 4: Simplify right side
    5,482.68x = 42,259,294.76
  5. Step 5: Solve for x
    x = 42,259,294.76/5,482.68
  6. Step 6: Final answer
    x = 7,707.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.