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Finding the Fourth Proportional to 5,168.34, 7,752.34 and 2,246.65

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Solution

The fourth proportional to 5,168.34, 7,752.34 and 2,246.65 is: 3,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.34 : 7,752.34 = 2,246.65 : x
  2. Step 2: Convert to fraction form
    5,168.34/7,752.34 = 2,246.65/x
  3. Step 3: Cross multiply
    5,168.34x = 7,752.34 × 2,246.65
  4. Step 4: Simplify right side
    5,168.34x = 17,416,794.66
  5. Step 5: Solve for x
    x = 17,416,794.66/5,168.34
  6. Step 6: Final answer
    x = 3,369.90

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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.