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Finding the Fourth Proportional to 4,147.58, 6,221.15 and 1,550.31

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Solution

The fourth proportional to 4,147.58, 6,221.15 and 1,550.31 is: 2,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.58 : 6,221.15 = 1,550.31 : x
  2. Step 2: Convert to fraction form
    4,147.58/6,221.15 = 1,550.31/x
  3. Step 3: Cross multiply
    4,147.58x = 6,221.15 × 1,550.31
  4. Step 4: Simplify right side
    4,147.58x = 9,644,711.06
  5. Step 5: Solve for x
    x = 9,644,711.06/4,147.58
  6. Step 6: Final answer
    x = 2,325.38

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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.