Home / 4,177.12-5,764.16-2,314

Finding the Fourth Proportional to 4,177.12, 5,764.16 and 2,314

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Solution

The fourth proportional to 4,177.12, 5,764.16 and 2,314 is: 3,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.12 : 5,764.16 = 2,314 : x
  2. Step 2: Convert to fraction form
    4,177.12/5,764.16 = 2,314/x
  3. Step 3: Cross multiply
    4,177.12x = 5,764.16 × 2,314
  4. Step 4: Simplify right side
    4,177.12x = 13,338,266.24
  5. Step 5: Solve for x
    x = 13,338,266.24/4,177.12
  6. Step 6: Final answer
    x = 3,193.17

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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.