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Finding the Fourth Proportional to 3,974.16, 5,957.49 and 1,781.67

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Solution

The fourth proportional to 3,974.16, 5,957.49 and 1,781.67 is: 2,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.16 : 5,957.49 = 1,781.67 : x
  2. Step 2: Convert to fraction form
    3,974.16/5,957.49 = 1,781.67/x
  3. Step 3: Cross multiply
    3,974.16x = 5,957.49 × 1,781.67
  4. Step 4: Simplify right side
    3,974.16x = 10,614,281.21
  5. Step 5: Solve for x
    x = 10,614,281.21/3,974.16
  6. Step 6: Final answer
    x = 2,670.82

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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.