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Finding the Fourth Proportional to 5,744.47, 8,616.71 and 1,640.47

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Solution

The fourth proportional to 5,744.47, 8,616.71 and 1,640.47 is: 2,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.47 : 8,616.71 = 1,640.47 : x
  2. Step 2: Convert to fraction form
    5,744.47/8,616.71 = 1,640.47/x
  3. Step 3: Cross multiply
    5,744.47x = 8,616.71 × 1,640.47
  4. Step 4: Simplify right side
    5,744.47x = 14,135,446.05
  5. Step 5: Solve for x
    x = 14,135,446.05/5,744.47
  6. Step 6: Final answer
    x = 2,460.71

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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.