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Finding the Fourth Proportional to 3,957.33, 5,931.24 and 1,456.52

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Solution

The fourth proportional to 3,957.33, 5,931.24 and 1,456.52 is: 2,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.33 : 5,931.24 = 1,456.52 : x
  2. Step 2: Convert to fraction form
    3,957.33/5,931.24 = 1,456.52/x
  3. Step 3: Cross multiply
    3,957.33x = 5,931.24 × 1,456.52
  4. Step 4: Simplify right side
    3,957.33x = 8,638,934.57
  5. Step 5: Solve for x
    x = 8,638,934.57/3,957.33
  6. Step 6: Final answer
    x = 2,183.02

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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.