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Finding the Fourth Proportional to 5,764.26, 7,959.24 and 3,877.50

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Solution

The fourth proportional to 5,764.26, 7,959.24 and 3,877.50 is: 5,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.26 : 7,959.24 = 3,877.50 : x
  2. Step 2: Convert to fraction form
    5,764.26/7,959.24 = 3,877.50/x
  3. Step 3: Cross multiply
    5,764.26x = 7,959.24 × 3,877.50
  4. Step 4: Simplify right side
    5,764.26x = 30,861,953.10
  5. Step 5: Solve for x
    x = 30,861,953.10/5,764.26
  6. Step 6: Final answer
    x = 5,354.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.