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Finding the Fourth Proportional to 5,842.64, 8,061 and 3,747.92

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Solution

The fourth proportional to 5,842.64, 8,061 and 3,747.92 is: 5,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.64 : 8,061 = 3,747.92 : x
  2. Step 2: Convert to fraction form
    5,842.64/8,061 = 3,747.92/x
  3. Step 3: Cross multiply
    5,842.64x = 8,061 × 3,747.92
  4. Step 4: Simplify right side
    5,842.64x = 30,211,983.12
  5. Step 5: Solve for x
    x = 30,211,983.12/5,842.64
  6. Step 6: Final answer
    x = 5,170.95

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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.