Home / 4,177.32-5,764.68-2,409

Finding the Fourth Proportional to 4,177.32, 5,764.68 and 2,409

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Solution

The fourth proportional to 4,177.32, 5,764.68 and 2,409 is: 3,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.32 : 5,764.68 = 2,409 : x
  2. Step 2: Convert to fraction form
    4,177.32/5,764.68 = 2,409/x
  3. Step 3: Cross multiply
    4,177.32x = 5,764.68 × 2,409
  4. Step 4: Simplify right side
    4,177.32x = 13,887,114.12
  5. Step 5: Solve for x
    x = 13,887,114.12/4,177.32
  6. Step 6: Final answer
    x = 3,324.41

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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.