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Finding the Fourth Proportional to 5,223.65, 7,192.87 and 4,514.19

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Solution

The fourth proportional to 5,223.65, 7,192.87 and 4,514.19 is: 6,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.65 : 7,192.87 = 4,514.19 : x
  2. Step 2: Convert to fraction form
    5,223.65/7,192.87 = 4,514.19/x
  3. Step 3: Cross multiply
    5,223.65x = 7,192.87 × 4,514.19
  4. Step 4: Simplify right side
    5,223.65x = 32,469,943.57
  5. Step 5: Solve for x
    x = 32,469,943.57/5,223.65
  6. Step 6: Final answer
    x = 6,215.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.