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Finding the Fourth Proportional to 4,877.96, 7,317.96 and 1,591.24

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Solution

The fourth proportional to 4,877.96, 7,317.96 and 1,591.24 is: 2,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.96 : 7,317.96 = 1,591.24 : x
  2. Step 2: Convert to fraction form
    4,877.96/7,317.96 = 1,591.24/x
  3. Step 3: Cross multiply
    4,877.96x = 7,317.96 × 1,591.24
  4. Step 4: Simplify right side
    4,877.96x = 11,644,630.67
  5. Step 5: Solve for x
    x = 11,644,630.67/4,877.96
  6. Step 6: Final answer
    x = 2,387.19

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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.