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Finding the Fourth Proportional to 4,324.86, 6,481.90 and 1,856.82

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Solution

The fourth proportional to 4,324.86, 6,481.90 and 1,856.82 is: 2,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.86 : 6,481.90 = 1,856.82 : x
  2. Step 2: Convert to fraction form
    4,324.86/6,481.90 = 1,856.82/x
  3. Step 3: Cross multiply
    4,324.86x = 6,481.90 × 1,856.82
  4. Step 4: Simplify right side
    4,324.86x = 12,035,721.56
  5. Step 5: Solve for x
    x = 12,035,721.56/4,324.86
  6. Step 6: Final answer
    x = 2,782.92

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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.