Home / 5,586-7,723.24-5,341.20

Finding the Fourth Proportional to 5,586, 7,723.24 and 5,341.20

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Solution

The fourth proportional to 5,586, 7,723.24 and 5,341.20 is: 7,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586 : 7,723.24 = 5,341.20 : x
  2. Step 2: Convert to fraction form
    5,586/7,723.24 = 5,341.20/x
  3. Step 3: Cross multiply
    5,586x = 7,723.24 × 5,341.20
  4. Step 4: Simplify right side
    5,586x = 41,251,369.49
  5. Step 5: Solve for x
    x = 41,251,369.49/5,586
  6. Step 6: Final answer
    x = 7,384.78

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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.