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Finding the Fourth Proportional to 3,867.06, 5,789.22 and 2,401.76

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Solution

The fourth proportional to 3,867.06, 5,789.22 and 2,401.76 is: 3,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.06 : 5,789.22 = 2,401.76 : x
  2. Step 2: Convert to fraction form
    3,867.06/5,789.22 = 2,401.76/x
  3. Step 3: Cross multiply
    3,867.06x = 5,789.22 × 2,401.76
  4. Step 4: Simplify right side
    3,867.06x = 13,904,317.03
  5. Step 5: Solve for x
    x = 13,904,317.03/3,867.06
  6. Step 6: Final answer
    x = 3,595.58

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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.