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Finding the Fourth Proportional to 5,874.70, 8,107.46 and 3,881.76

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Solution

The fourth proportional to 5,874.70, 8,107.46 and 3,881.76 is: 5,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.70 : 8,107.46 = 3,881.76 : x
  2. Step 2: Convert to fraction form
    5,874.70/8,107.46 = 3,881.76/x
  3. Step 3: Cross multiply
    5,874.70x = 8,107.46 × 3,881.76
  4. Step 4: Simplify right side
    5,874.70x = 31,471,213.93
  5. Step 5: Solve for x
    x = 31,471,213.93/5,874.70
  6. Step 6: Final answer
    x = 5,357.08

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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.