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Finding the Fourth Proportional to 3,790.76, 5,687.27 and 1,943.18

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Solution

The fourth proportional to 3,790.76, 5,687.27 and 1,943.18 is: 2,915.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.76 : 5,687.27 = 1,943.18 : x
  2. Step 2: Convert to fraction form
    3,790.76/5,687.27 = 1,943.18/x
  3. Step 3: Cross multiply
    3,790.76x = 5,687.27 × 1,943.18
  4. Step 4: Simplify right side
    3,790.76x = 11,051,351.17
  5. Step 5: Solve for x
    x = 11,051,351.17/3,790.76
  6. Step 6: Final answer
    x = 2,915.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.