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Finding the Fourth Proportional to 5,883.76, 8,119.71 and 3,231.17

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Solution

The fourth proportional to 5,883.76, 8,119.71 and 3,231.17 is: 4,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.76 : 8,119.71 = 3,231.17 : x
  2. Step 2: Convert to fraction form
    5,883.76/8,119.71 = 3,231.17/x
  3. Step 3: Cross multiply
    5,883.76x = 8,119.71 × 3,231.17
  4. Step 4: Simplify right side
    5,883.76x = 26,236,163.36
  5. Step 5: Solve for x
    x = 26,236,163.36/5,883.76
  6. Step 6: Final answer
    x = 4,459.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.