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Finding the Fourth Proportional to 3,999.44, 5,999.16 and 1,077.87

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Solution

The fourth proportional to 3,999.44, 5,999.16 and 1,077.87 is: 1,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.44 : 5,999.16 = 1,077.87 : x
  2. Step 2: Convert to fraction form
    3,999.44/5,999.16 = 1,077.87/x
  3. Step 3: Cross multiply
    3,999.44x = 5,999.16 × 1,077.87
  4. Step 4: Simplify right side
    3,999.44x = 6,466,341.13
  5. Step 5: Solve for x
    x = 6,466,341.13/3,999.44
  6. Step 6: Final answer
    x = 1,616.81

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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.