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Finding the Fourth Proportional to 3,438, 5,148.72 and 2,201.58

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Solution

The fourth proportional to 3,438, 5,148.72 and 2,201.58 is: 3,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438 : 5,148.72 = 2,201.58 : x
  2. Step 2: Convert to fraction form
    3,438/5,148.72 = 2,201.58/x
  3. Step 3: Cross multiply
    3,438x = 5,148.72 × 2,201.58
  4. Step 4: Simplify right side
    3,438x = 11,335,318.98
  5. Step 5: Solve for x
    x = 11,335,318.98/3,438
  6. Step 6: Final answer
    x = 3,297.07

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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.