Home / 4,142-5,716.82-2,549.12

Finding the Fourth Proportional to 4,142, 5,716.82 and 2,549.12

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Solution

The fourth proportional to 4,142, 5,716.82 and 2,549.12 is: 3,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 5,716.82 = 2,549.12 : x
  2. Step 2: Convert to fraction form
    4,142/5,716.82 = 2,549.12/x
  3. Step 3: Cross multiply
    4,142x = 5,716.82 × 2,549.12
  4. Step 4: Simplify right side
    4,142x = 14,572,860.20
  5. Step 5: Solve for x
    x = 14,572,860.20/4,142
  6. Step 6: Final answer
    x = 3,518.31

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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.