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Finding the Fourth Proportional to 4,139.98, 6,212.76 and 1,542.92

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Solution

The fourth proportional to 4,139.98, 6,212.76 and 1,542.92 is: 2,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.98 : 6,212.76 = 1,542.92 : x
  2. Step 2: Convert to fraction form
    4,139.98/6,212.76 = 1,542.92/x
  3. Step 3: Cross multiply
    4,139.98x = 6,212.76 × 1,542.92
  4. Step 4: Simplify right side
    4,139.98x = 9,585,795.52
  5. Step 5: Solve for x
    x = 9,585,795.52/4,139.98
  6. Step 6: Final answer
    x = 2,315.42

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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.