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Finding the Fourth Proportional to 5,689.98, 8,542.26 and 4,829.76

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Solution

The fourth proportional to 5,689.98, 8,542.26 and 4,829.76 is: 7,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.98 : 8,542.26 = 4,829.76 : x
  2. Step 2: Convert to fraction form
    5,689.98/8,542.26 = 4,829.76/x
  3. Step 3: Cross multiply
    5,689.98x = 8,542.26 × 4,829.76
  4. Step 4: Simplify right side
    5,689.98x = 41,257,065.66
  5. Step 5: Solve for x
    x = 41,257,065.66/5,689.98
  6. Step 6: Final answer
    x = 7,250.83

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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.