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Finding the Fourth Proportional to 3,856.41, 5,755.05 and 3,441.15

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Solution

The fourth proportional to 3,856.41, 5,755.05 and 3,441.15 is: 5,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.41 : 5,755.05 = 3,441.15 : x
  2. Step 2: Convert to fraction form
    3,856.41/5,755.05 = 3,441.15/x
  3. Step 3: Cross multiply
    3,856.41x = 5,755.05 × 3,441.15
  4. Step 4: Simplify right side
    3,856.41x = 19,803,990.31
  5. Step 5: Solve for x
    x = 19,803,990.31/3,856.41
  6. Step 6: Final answer
    x = 5,135.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.