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Finding the Fourth Proportional to 4,504.71, 6,761.39 and 2,197.83

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Solution

The fourth proportional to 4,504.71, 6,761.39 and 2,197.83 is: 3,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.71 : 6,761.39 = 2,197.83 : x
  2. Step 2: Convert to fraction form
    4,504.71/6,761.39 = 2,197.83/x
  3. Step 3: Cross multiply
    4,504.71x = 6,761.39 × 2,197.83
  4. Step 4: Simplify right side
    4,504.71x = 14,860,374.79
  5. Step 5: Solve for x
    x = 14,860,374.79/4,504.71
  6. Step 6: Final answer
    x = 3,298.85

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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.