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Finding the Fourth Proportional to 4,002.01, 5,990.69 and 2,361.76

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Solution

The fourth proportional to 4,002.01, 5,990.69 and 2,361.76 is: 3,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.01 : 5,990.69 = 2,361.76 : x
  2. Step 2: Convert to fraction form
    4,002.01/5,990.69 = 2,361.76/x
  3. Step 3: Cross multiply
    4,002.01x = 5,990.69 × 2,361.76
  4. Step 4: Simplify right side
    4,002.01x = 14,148,530.25
  5. Step 5: Solve for x
    x = 14,148,530.25/4,002.01
  6. Step 6: Final answer
    x = 3,535.36

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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.