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Finding the Fourth Proportional to 4,174, 5,760.84 and 2,518

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Solution

The fourth proportional to 4,174, 5,760.84 and 2,518 is: 3,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174 : 5,760.84 = 2,518 : x
  2. Step 2: Convert to fraction form
    4,174/5,760.84 = 2,518/x
  3. Step 3: Cross multiply
    4,174x = 5,760.84 × 2,518
  4. Step 4: Simplify right side
    4,174x = 14,505,795.12
  5. Step 5: Solve for x
    x = 14,505,795.12/4,174
  6. Step 6: Final answer
    x = 3,475.27

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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.