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Finding the Fourth Proportional to 5,230.38, 7,844.71 and 1,720.43

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Solution

The fourth proportional to 5,230.38, 7,844.71 and 1,720.43 is: 2,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.38 : 7,844.71 = 1,720.43 : x
  2. Step 2: Convert to fraction form
    5,230.38/7,844.71 = 1,720.43/x
  3. Step 3: Cross multiply
    5,230.38x = 7,844.71 × 1,720.43
  4. Step 4: Simplify right side
    5,230.38x = 13,496,295.65
  5. Step 5: Solve for x
    x = 13,496,295.65/5,230.38
  6. Step 6: Final answer
    x = 2,580.36

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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.