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Finding the Fourth Proportional to 4,147.80, 6,221.67 and 3,415.83

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Solution

The fourth proportional to 4,147.80, 6,221.67 and 3,415.83 is: 5,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.80 : 6,221.67 = 3,415.83 : x
  2. Step 2: Convert to fraction form
    4,147.80/6,221.67 = 3,415.83/x
  3. Step 3: Cross multiply
    4,147.80x = 6,221.67 × 3,415.83
  4. Step 4: Simplify right side
    4,147.80x = 21,252,167.04
  5. Step 5: Solve for x
    x = 21,252,167.04/4,147.80
  6. Step 6: Final answer
    x = 5,123.72

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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.