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Finding the Fourth Proportional to 3,856.90, 5,329.11 and 3,433.54

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Solution

The fourth proportional to 3,856.90, 5,329.11 and 3,433.54 is: 4,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.90 : 5,329.11 = 3,433.54 : x
  2. Step 2: Convert to fraction form
    3,856.90/5,329.11 = 3,433.54/x
  3. Step 3: Cross multiply
    3,856.90x = 5,329.11 × 3,433.54
  4. Step 4: Simplify right side
    3,856.90x = 18,297,712.35
  5. Step 5: Solve for x
    x = 18,297,712.35/3,856.90
  6. Step 6: Final answer
    x = 4,744.15

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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.