Home / 5,022-7,534.82-4,617.41

Finding the Fourth Proportional to 5,022, 7,534.82 and 4,617.41

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Solution

The fourth proportional to 5,022, 7,534.82 and 4,617.41 is: 6,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022 : 7,534.82 = 4,617.41 : x
  2. Step 2: Convert to fraction form
    5,022/7,534.82 = 4,617.41/x
  3. Step 3: Cross multiply
    5,022x = 7,534.82 × 4,617.41
  4. Step 4: Simplify right side
    5,022x = 34,791,327.09
  5. Step 5: Solve for x
    x = 34,791,327.09/5,022
  6. Step 6: Final answer
    x = 6,927.78

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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.