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Finding the Fourth Proportional to 3,805.92, 5,246.24 and 3,500.42

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Solution

The fourth proportional to 3,805.92, 5,246.24 and 3,500.42 is: 4,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.92 : 5,246.24 = 3,500.42 : x
  2. Step 2: Convert to fraction form
    3,805.92/5,246.24 = 3,500.42/x
  3. Step 3: Cross multiply
    3,805.92x = 5,246.24 × 3,500.42
  4. Step 4: Simplify right side
    3,805.92x = 18,363,999.69
  5. Step 5: Solve for x
    x = 18,363,999.69/3,805.92
  6. Step 6: Final answer
    x = 4,825.11

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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.