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Finding the Fourth Proportional to 3,992.35, 5,993.82 and 3,411.08

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Solution

The fourth proportional to 3,992.35, 5,993.82 and 3,411.08 is: 5,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.35 : 5,993.82 = 3,411.08 : x
  2. Step 2: Convert to fraction form
    3,992.35/5,993.82 = 3,411.08/x
  3. Step 3: Cross multiply
    3,992.35x = 5,993.82 × 3,411.08
  4. Step 4: Simplify right side
    3,992.35x = 20,445,382.47
  5. Step 5: Solve for x
    x = 20,445,382.47/3,992.35
  6. Step 6: Final answer
    x = 5,121.15

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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.