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Finding the Fourth Proportional to 5,107.47, 7,046.52 and 3,219.21

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Solution

The fourth proportional to 5,107.47, 7,046.52 and 3,219.21 is: 4,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.47 : 7,046.52 = 3,219.21 : x
  2. Step 2: Convert to fraction form
    5,107.47/7,046.52 = 3,219.21/x
  3. Step 3: Cross multiply
    5,107.47x = 7,046.52 × 3,219.21
  4. Step 4: Simplify right side
    5,107.47x = 22,684,227.65
  5. Step 5: Solve for x
    x = 22,684,227.65/5,107.47
  6. Step 6: Final answer
    x = 4,441.38

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Why These Related Problems?

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