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Finding the Fourth Proportional to 3,792.93, 5,234.17 and 2,114.45

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Solution

The fourth proportional to 3,792.93, 5,234.17 and 2,114.45 is: 2,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.93 : 5,234.17 = 2,114.45 : x
  2. Step 2: Convert to fraction form
    3,792.93/5,234.17 = 2,114.45/x
  3. Step 3: Cross multiply
    3,792.93x = 5,234.17 × 2,114.45
  4. Step 4: Simplify right side
    3,792.93x = 11,067,412.33
  5. Step 5: Solve for x
    x = 11,067,412.33/3,792.93
  6. Step 6: Final answer
    x = 2,917.91

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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.