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Finding the Fourth Proportional to 3,965.47, 5,943.70 and 3,081.40

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Solution

The fourth proportional to 3,965.47, 5,943.70 and 3,081.40 is: 4,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.47 : 5,943.70 = 3,081.40 : x
  2. Step 2: Convert to fraction form
    3,965.47/5,943.70 = 3,081.40/x
  3. Step 3: Cross multiply
    3,965.47x = 5,943.70 × 3,081.40
  4. Step 4: Simplify right side
    3,965.47x = 18,314,917.18
  5. Step 5: Solve for x
    x = 18,314,917.18/3,965.47
  6. Step 6: Final answer
    x = 4,618.60

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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.