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Finding the Fourth Proportional to 4,149.47, 6,218.52 and 2,197.77

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Solution

The fourth proportional to 4,149.47, 6,218.52 and 2,197.77 is: 3,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.47 : 6,218.52 = 2,197.77 : x
  2. Step 2: Convert to fraction form
    4,149.47/6,218.52 = 2,197.77/x
  3. Step 3: Cross multiply
    4,149.47x = 6,218.52 × 2,197.77
  4. Step 4: Simplify right side
    4,149.47x = 13,666,876.70
  5. Step 5: Solve for x
    x = 13,666,876.70/4,149.47
  6. Step 6: Final answer
    x = 3,293.65

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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.