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Finding the Fourth Proportional to 3,876.57, 5,817.24 and 1,536.18

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Solution

The fourth proportional to 3,876.57, 5,817.24 and 1,536.18 is: 2,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.57 : 5,817.24 = 1,536.18 : x
  2. Step 2: Convert to fraction form
    3,876.57/5,817.24 = 1,536.18/x
  3. Step 3: Cross multiply
    3,876.57x = 5,817.24 × 1,536.18
  4. Step 4: Simplify right side
    3,876.57x = 8,936,327.74
  5. Step 5: Solve for x
    x = 8,936,327.74/3,876.57
  6. Step 6: Final answer
    x = 2,305.22

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1.5x scale

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.