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Finding the Fourth Proportional to 3,999.82, 5,999.74 and 1,402.16

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Solution

The fourth proportional to 3,999.82, 5,999.74 and 1,402.16 is: 2,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.82 : 5,999.74 = 1,402.16 : x
  2. Step 2: Convert to fraction form
    3,999.82/5,999.74 = 1,402.16/x
  3. Step 3: Cross multiply
    3,999.82x = 5,999.74 × 1,402.16
  4. Step 4: Simplify right side
    3,999.82x = 8,412,595.44
  5. Step 5: Solve for x
    x = 8,412,595.44/3,999.82
  6. Step 6: Final answer
    x = 2,103.24

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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.