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Finding the Fourth Proportional to 4,001.76, 5,995.14 and 2,353.38

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Solution

The fourth proportional to 4,001.76, 5,995.14 and 2,353.38 is: 3,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.76 : 5,995.14 = 2,353.38 : x
  2. Step 2: Convert to fraction form
    4,001.76/5,995.14 = 2,353.38/x
  3. Step 3: Cross multiply
    4,001.76x = 5,995.14 × 2,353.38
  4. Step 4: Simplify right side
    4,001.76x = 14,108,842.57
  5. Step 5: Solve for x
    x = 14,108,842.57/4,001.76
  6. Step 6: Final answer
    x = 3,525.66

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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.