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Finding the Fourth Proportional to 3,950.68, 5,452.02 and 2,182.40

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Solution

The fourth proportional to 3,950.68, 5,452.02 and 2,182.40 is: 3,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.68 : 5,452.02 = 2,182.40 : x
  2. Step 2: Convert to fraction form
    3,950.68/5,452.02 = 2,182.40/x
  3. Step 3: Cross multiply
    3,950.68x = 5,452.02 × 2,182.40
  4. Step 4: Simplify right side
    3,950.68x = 11,898,488.45
  5. Step 5: Solve for x
    x = 11,898,488.45/3,950.68
  6. Step 6: Final answer
    x = 3,011.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.