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Finding the Fourth Proportional to 5,826.26, 8,737.28 and 2,538.56

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Solution

The fourth proportional to 5,826.26, 8,737.28 and 2,538.56 is: 3,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.26 : 8,737.28 = 2,538.56 : x
  2. Step 2: Convert to fraction form
    5,826.26/8,737.28 = 2,538.56/x
  3. Step 3: Cross multiply
    5,826.26x = 8,737.28 × 2,538.56
  4. Step 4: Simplify right side
    5,826.26x = 22,180,109.52
  5. Step 5: Solve for x
    x = 22,180,109.52/5,826.26
  6. Step 6: Final answer
    x = 3,806.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.