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Finding the Fourth Proportional to 3,999.60, 5,999.04 and 1,402.38

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Solution

The fourth proportional to 3,999.60, 5,999.04 and 1,402.38 is: 2,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.60 : 5,999.04 = 1,402.38 : x
  2. Step 2: Convert to fraction form
    3,999.60/5,999.04 = 1,402.38/x
  3. Step 3: Cross multiply
    3,999.60x = 5,999.04 × 1,402.38
  4. Step 4: Simplify right side
    3,999.60x = 8,412,933.72
  5. Step 5: Solve for x
    x = 8,412,933.72/3,999.60
  6. Step 6: Final answer
    x = 2,103.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.