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Finding the Fourth Proportional to 4,174.16, 5,760.49 and 2,760.35

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Solution

The fourth proportional to 4,174.16, 5,760.49 and 2,760.35 is: 3,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.16 : 5,760.49 = 2,760.35 : x
  2. Step 2: Convert to fraction form
    4,174.16/5,760.49 = 2,760.35/x
  3. Step 3: Cross multiply
    4,174.16x = 5,760.49 × 2,760.35
  4. Step 4: Simplify right side
    4,174.16x = 15,900,968.57
  5. Step 5: Solve for x
    x = 15,900,968.57/4,174.16
  6. Step 6: Final answer
    x = 3,809.38

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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.