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Finding the Fourth Proportional to 3,856.48, 5,790.48 and 2,299.12

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Solution

The fourth proportional to 3,856.48, 5,790.48 and 2,299.12 is: 3,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.48 : 5,790.48 = 2,299.12 : x
  2. Step 2: Convert to fraction form
    3,856.48/5,790.48 = 2,299.12/x
  3. Step 3: Cross multiply
    3,856.48x = 5,790.48 × 2,299.12
  4. Step 4: Simplify right side
    3,856.48x = 13,313,008.38
  5. Step 5: Solve for x
    x = 13,313,008.38/3,856.48
  6. Step 6: Final answer
    x = 3,452.11

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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.