Home / 5,738.08-8,612-2,277.76

Finding the Fourth Proportional to 5,738.08, 8,612 and 2,277.76

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Solution

The fourth proportional to 5,738.08, 8,612 and 2,277.76 is: 3,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.08 : 8,612 = 2,277.76 : x
  2. Step 2: Convert to fraction form
    5,738.08/8,612 = 2,277.76/x
  3. Step 3: Cross multiply
    5,738.08x = 8,612 × 2,277.76
  4. Step 4: Simplify right side
    5,738.08x = 19,616,069.12
  5. Step 5: Solve for x
    x = 19,616,069.12/5,738.08
  6. Step 6: Final answer
    x = 3,418.58

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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.