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Finding the Fourth Proportional to 4,884.38, 7,327.47 and 1,597.66

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Solution

The fourth proportional to 4,884.38, 7,327.47 and 1,597.66 is: 2,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.38 : 7,327.47 = 1,597.66 : x
  2. Step 2: Convert to fraction form
    4,884.38/7,327.47 = 1,597.66/x
  3. Step 3: Cross multiply
    4,884.38x = 7,327.47 × 1,597.66
  4. Step 4: Simplify right side
    4,884.38x = 11,706,769.08
  5. Step 5: Solve for x
    x = 11,706,769.08/4,884.38
  6. Step 6: Final answer
    x = 2,396.78

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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.