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Finding the Fourth Proportional to 4,000.12, 5,998.14 and 2,357.20

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Solution

The fourth proportional to 4,000.12, 5,998.14 and 2,357.20 is: 3,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.12 : 5,998.14 = 2,357.20 : x
  2. Step 2: Convert to fraction form
    4,000.12/5,998.14 = 2,357.20/x
  3. Step 3: Cross multiply
    4,000.12x = 5,998.14 × 2,357.20
  4. Step 4: Simplify right side
    4,000.12x = 14,138,815.61
  5. Step 5: Solve for x
    x = 14,138,815.61/4,000.12
  6. Step 6: Final answer
    x = 3,534.60

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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.