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Finding the Fourth Proportional to 3,992.33, 5,509.41 and 2,314.71

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Solution

The fourth proportional to 3,992.33, 5,509.41 and 2,314.71 is: 3,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.33 : 5,509.41 = 2,314.71 : x
  2. Step 2: Convert to fraction form
    3,992.33/5,509.41 = 2,314.71/x
  3. Step 3: Cross multiply
    3,992.33x = 5,509.41 × 2,314.71
  4. Step 4: Simplify right side
    3,992.33x = 12,752,686.42
  5. Step 5: Solve for x
    x = 12,752,686.42/3,992.33
  6. Step 6: Final answer
    x = 3,194.30

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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.