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Finding the Fourth Proportional to 3,943.40, 5,915.10 and 3,295.40

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Solution

The fourth proportional to 3,943.40, 5,915.10 and 3,295.40 is: 4,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.40 : 5,915.10 = 3,295.40 : x
  2. Step 2: Convert to fraction form
    3,943.40/5,915.10 = 3,295.40/x
  3. Step 3: Cross multiply
    3,943.40x = 5,915.10 × 3,295.40
  4. Step 4: Simplify right side
    3,943.40x = 19,492,620.54
  5. Step 5: Solve for x
    x = 19,492,620.54/3,943.40
  6. Step 6: Final answer
    x = 4,943.10

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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.