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Finding the Fourth Proportional to 4,174.80, 5,756.25 and 2,682.78

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Solution

The fourth proportional to 4,174.80, 5,756.25 and 2,682.78 is: 3,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.80 : 5,756.25 = 2,682.78 : x
  2. Step 2: Convert to fraction form
    4,174.80/5,756.25 = 2,682.78/x
  3. Step 3: Cross multiply
    4,174.80x = 5,756.25 × 2,682.78
  4. Step 4: Simplify right side
    4,174.80x = 15,442,752.38
  5. Step 5: Solve for x
    x = 15,442,752.38/4,174.80
  6. Step 6: Final answer
    x = 3,699.04

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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.