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Finding the Fourth Proportional to 5,230.58, 7,218.14 and 3,107.15

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Solution

The fourth proportional to 5,230.58, 7,218.14 and 3,107.15 is: 4,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.58 : 7,218.14 = 3,107.15 : x
  2. Step 2: Convert to fraction form
    5,230.58/7,218.14 = 3,107.15/x
  3. Step 3: Cross multiply
    5,230.58x = 7,218.14 × 3,107.15
  4. Step 4: Simplify right side
    5,230.58x = 22,427,815.38
  5. Step 5: Solve for x
    x = 22,427,815.38/5,230.58
  6. Step 6: Final answer
    x = 4,287.83

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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.