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Finding the Fourth Proportional to 5,883.84, 8,119.85 and 3,231.50

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Solution

The fourth proportional to 5,883.84, 8,119.85 and 3,231.50 is: 4,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.84 : 8,119.85 = 3,231.50 : x
  2. Step 2: Convert to fraction form
    5,883.84/8,119.85 = 3,231.50/x
  3. Step 3: Cross multiply
    5,883.84x = 8,119.85 × 3,231.50
  4. Step 4: Simplify right side
    5,883.84x = 26,239,238.52
  5. Step 5: Solve for x
    x = 26,239,238.52/5,883.84
  6. Step 6: Final answer
    x = 4,459.54

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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.