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Finding the Fourth Proportional to 3,856.11, 5,814.17 and 3,532.11

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Solution

The fourth proportional to 3,856.11, 5,814.17 and 3,532.11 is: 5,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.11 : 5,814.17 = 3,532.11 : x
  2. Step 2: Convert to fraction form
    3,856.11/5,814.17 = 3,532.11/x
  3. Step 3: Cross multiply
    3,856.11x = 5,814.17 × 3,532.11
  4. Step 4: Simplify right side
    3,856.11x = 20,536,296.83
  5. Step 5: Solve for x
    x = 20,536,296.83/3,856.11
  6. Step 6: Final answer
    x = 5,325.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.