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Finding the Fourth Proportional to 4,878.68, 7,318.42 and 1,591.70

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Solution

The fourth proportional to 4,878.68, 7,318.42 and 1,591.70 is: 2,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.68 : 7,318.42 = 1,591.70 : x
  2. Step 2: Convert to fraction form
    4,878.68/7,318.42 = 1,591.70/x
  3. Step 3: Cross multiply
    4,878.68x = 7,318.42 × 1,591.70
  4. Step 4: Simplify right side
    4,878.68x = 11,648,729.11
  5. Step 5: Solve for x
    x = 11,648,729.11/4,878.68
  6. Step 6: Final answer
    x = 2,387.68

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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.