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Finding the Fourth Proportional to 5,113.97, 7,672.77 and 2,924.54

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Solution

The fourth proportional to 5,113.97, 7,672.77 and 2,924.54 is: 4,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.97 : 7,672.77 = 2,924.54 : x
  2. Step 2: Convert to fraction form
    5,113.97/7,672.77 = 2,924.54/x
  3. Step 3: Cross multiply
    5,113.97x = 7,672.77 × 2,924.54
  4. Step 4: Simplify right side
    5,113.97x = 22,439,284.41
  5. Step 5: Solve for x
    x = 22,439,284.41/5,113.97
  6. Step 6: Final answer
    x = 4,387.84

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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.