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Finding the Fourth Proportional to 3,998.83, 5,998.59 and 1,077.16

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Solution

The fourth proportional to 3,998.83, 5,998.59 and 1,077.16 is: 1,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.83 : 5,998.59 = 1,077.16 : x
  2. Step 2: Convert to fraction form
    3,998.83/5,998.59 = 1,077.16/x
  3. Step 3: Cross multiply
    3,998.83x = 5,998.59 × 1,077.16
  4. Step 4: Simplify right side
    3,998.83x = 6,461,441.20
  5. Step 5: Solve for x
    x = 6,461,441.20/3,998.83
  6. Step 6: Final answer
    x = 1,615.83

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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.