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Finding the Fourth Proportional to 7,295.40, 10,949.22 and 3,787.56

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Solution

The fourth proportional to 7,295.40, 10,949.22 and 3,787.56 is: 5,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.40 : 10,949.22 = 3,787.56 : x
  2. Step 2: Convert to fraction form
    7,295.40/10,949.22 = 3,787.56/x
  3. Step 3: Cross multiply
    7,295.40x = 10,949.22 × 3,787.56
  4. Step 4: Simplify right side
    7,295.40x = 41,470,754.02
  5. Step 5: Solve for x
    x = 41,470,754.02/7,295.40
  6. Step 6: Final answer
    x = 5,684.51

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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.