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Finding the Fourth Proportional to 3,481.95, 5,224.72 and 2,312.76

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Solution

The fourth proportional to 3,481.95, 5,224.72 and 2,312.76 is: 3,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.95 : 5,224.72 = 2,312.76 : x
  2. Step 2: Convert to fraction form
    3,481.95/5,224.72 = 2,312.76/x
  3. Step 3: Cross multiply
    3,481.95x = 5,224.72 × 2,312.76
  4. Step 4: Simplify right side
    3,481.95x = 12,083,523.43
  5. Step 5: Solve for x
    x = 12,083,523.43/3,481.95
  6. Step 6: Final answer
    x = 3,470.33

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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.