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Finding the Fourth Proportional to 3,950.90, 5,452.32 and 2,182.58

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Solution

The fourth proportional to 3,950.90, 5,452.32 and 2,182.58 is: 3,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.90 : 5,452.32 = 2,182.58 : x
  2. Step 2: Convert to fraction form
    3,950.90/5,452.32 = 2,182.58/x
  3. Step 3: Cross multiply
    3,950.90x = 5,452.32 × 2,182.58
  4. Step 4: Simplify right side
    3,950.90x = 11,900,124.59
  5. Step 5: Solve for x
    x = 11,900,124.59/3,950.90
  6. Step 6: Final answer
    x = 3,012.00

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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.