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Finding the Fourth Proportional to 3,999.24, 5,998.28 and 1,534.68

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Solution

The fourth proportional to 3,999.24, 5,998.28 and 1,534.68 is: 2,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.24 : 5,998.28 = 1,534.68 : x
  2. Step 2: Convert to fraction form
    3,999.24/5,998.28 = 1,534.68/x
  3. Step 3: Cross multiply
    3,999.24x = 5,998.28 × 1,534.68
  4. Step 4: Simplify right side
    3,999.24x = 9,205,440.35
  5. Step 5: Solve for x
    x = 9,205,440.35/3,999.24
  6. Step 6: Final answer
    x = 2,301.80

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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.