Home / 5,202.52-7,805.84-2,281.28

Finding the Fourth Proportional to 5,202.52, 7,805.84 and 2,281.28

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Solution

The fourth proportional to 5,202.52, 7,805.84 and 2,281.28 is: 3,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.52 : 7,805.84 = 2,281.28 : x
  2. Step 2: Convert to fraction form
    5,202.52/7,805.84 = 2,281.28/x
  3. Step 3: Cross multiply
    5,202.52x = 7,805.84 × 2,281.28
  4. Step 4: Simplify right side
    5,202.52x = 17,807,306.68
  5. Step 5: Solve for x
    x = 17,807,306.68/5,202.52
  6. Step 6: Final answer
    x = 3,422.82

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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.