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Finding the Fourth Proportional to 3,999.21, 5,998.95 and 1,077.58

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Solution

The fourth proportional to 3,999.21, 5,998.95 and 1,077.58 is: 1,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.21 : 5,998.95 = 1,077.58 : x
  2. Step 2: Convert to fraction form
    3,999.21/5,998.95 = 1,077.58/x
  3. Step 3: Cross multiply
    3,999.21x = 5,998.95 × 1,077.58
  4. Step 4: Simplify right side
    3,999.21x = 6,464,343.15
  5. Step 5: Solve for x
    x = 6,464,343.15/3,999.21
  6. Step 6: Final answer
    x = 1,616.41

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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.