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Finding the Fourth Proportional to 3,972.11, 5,957.71 and 1,050.65

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Solution

The fourth proportional to 3,972.11, 5,957.71 and 1,050.65 is: 1,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.11 : 5,957.71 = 1,050.65 : x
  2. Step 2: Convert to fraction form
    3,972.11/5,957.71 = 1,050.65/x
  3. Step 3: Cross multiply
    3,972.11x = 5,957.71 × 1,050.65
  4. Step 4: Simplify right side
    3,972.11x = 6,259,435.60
  5. Step 5: Solve for x
    x = 6,259,435.60/3,972.11
  6. Step 6: Final answer
    x = 1,575.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.