Home / 5,218.24-7,822.90-2,584.52

Finding the Fourth Proportional to 5,218.24, 7,822.90 and 2,584.52

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Solution

The fourth proportional to 5,218.24, 7,822.90 and 2,584.52 is: 3,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.24 : 7,822.90 = 2,584.52 : x
  2. Step 2: Convert to fraction form
    5,218.24/7,822.90 = 2,584.52/x
  3. Step 3: Cross multiply
    5,218.24x = 7,822.90 × 2,584.52
  4. Step 4: Simplify right side
    5,218.24x = 20,218,441.51
  5. Step 5: Solve for x
    x = 20,218,441.51/5,218.24
  6. Step 6: Final answer
    x = 3,874.57

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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.