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Finding the Fourth Proportional to 3,998.91, 5,998.73 and 1,077.15

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Solution

The fourth proportional to 3,998.91, 5,998.73 and 1,077.15 is: 1,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.91 : 5,998.73 = 1,077.15 : x
  2. Step 2: Convert to fraction form
    3,998.91/5,998.73 = 1,077.15/x
  3. Step 3: Cross multiply
    3,998.91x = 5,998.73 × 1,077.15
  4. Step 4: Simplify right side
    3,998.91x = 6,461,540.91
  5. Step 5: Solve for x
    x = 6,461,540.91/3,998.91
  6. Step 6: Final answer
    x = 1,615.82

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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.