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Finding the Fourth Proportional to 4,943.25, 7,414.88 and 1,295.25

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Solution

The fourth proportional to 4,943.25, 7,414.88 and 1,295.25 is: 1,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.25 : 7,414.88 = 1,295.25 : x
  2. Step 2: Convert to fraction form
    4,943.25/7,414.88 = 1,295.25/x
  3. Step 3: Cross multiply
    4,943.25x = 7,414.88 × 1,295.25
  4. Step 4: Simplify right side
    4,943.25x = 9,604,116.84
  5. Step 5: Solve for x
    x = 9,604,116.84/4,943.25
  6. Step 6: Final answer
    x = 1,942.88

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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.