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Finding the Fourth Proportional to 7,295.65, 10,949.60 and 3,787.81

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Solution

The fourth proportional to 7,295.65, 10,949.60 and 3,787.81 is: 5,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.65 : 10,949.60 = 3,787.81 : x
  2. Step 2: Convert to fraction form
    7,295.65/10,949.60 = 3,787.81/x
  3. Step 3: Cross multiply
    7,295.65x = 10,949.60 × 3,787.81
  4. Step 4: Simplify right side
    7,295.65x = 41,474,958.06
  5. Step 5: Solve for x
    x = 41,474,958.06/7,295.65
  6. Step 6: Final answer
    x = 5,684.89

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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.