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Finding the Fourth Proportional to 5,931.32, 8,187.84 and 3,542.13

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Solution

The fourth proportional to 5,931.32, 8,187.84 and 3,542.13 is: 4,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.32 : 8,187.84 = 3,542.13 : x
  2. Step 2: Convert to fraction form
    5,931.32/8,187.84 = 3,542.13/x
  3. Step 3: Cross multiply
    5,931.32x = 8,187.84 × 3,542.13
  4. Step 4: Simplify right side
    5,931.32x = 29,002,393.70
  5. Step 5: Solve for x
    x = 29,002,393.70/5,931.32
  6. Step 6: Final answer
    x = 4,889.71

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1.5x scale

Why These Related Problems?

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