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Finding the Fourth Proportional to 3,914.71, 5,399.16 and 3,441.60

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Solution

The fourth proportional to 3,914.71, 5,399.16 and 3,441.60 is: 4,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.71 : 5,399.16 = 3,441.60 : x
  2. Step 2: Convert to fraction form
    3,914.71/5,399.16 = 3,441.60/x
  3. Step 3: Cross multiply
    3,914.71x = 5,399.16 × 3,441.60
  4. Step 4: Simplify right side
    3,914.71x = 18,581,773.60
  5. Step 5: Solve for x
    x = 18,581,773.60/3,914.71
  6. Step 6: Final answer
    x = 4,746.65

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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.