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Finding the Fourth Proportional to 3,943.70, 5,914.71 and 1,478.70

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Solution

The fourth proportional to 3,943.70, 5,914.71 and 1,478.70 is: 2,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.70 : 5,914.71 = 1,478.70 : x
  2. Step 2: Convert to fraction form
    3,943.70/5,914.71 = 1,478.70/x
  3. Step 3: Cross multiply
    3,943.70x = 5,914.71 × 1,478.70
  4. Step 4: Simplify right side
    3,943.70x = 8,746,085.84
  5. Step 5: Solve for x
    x = 8,746,085.84/3,943.70
  6. Step 6: Final answer
    x = 2,217.74

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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.