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Finding the Fourth Proportional to 4,792.39, 6,578.16 and 4,256.71

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Solution

The fourth proportional to 4,792.39, 6,578.16 and 4,256.71 is: 5,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.39 : 6,578.16 = 4,256.71 : x
  2. Step 2: Convert to fraction form
    4,792.39/6,578.16 = 4,256.71/x
  3. Step 3: Cross multiply
    4,792.39x = 6,578.16 × 4,256.71
  4. Step 4: Simplify right side
    4,792.39x = 28,001,286.56
  5. Step 5: Solve for x
    x = 28,001,286.56/4,792.39
  6. Step 6: Final answer
    x = 5,842.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.