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Finding the Fourth Proportional to 4,174.92, 5,765.76 and 2,852.04

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Solution

The fourth proportional to 4,174.92, 5,765.76 and 2,852.04 is: 3,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.92 : 5,765.76 = 2,852.04 : x
  2. Step 2: Convert to fraction form
    4,174.92/5,765.76 = 2,852.04/x
  3. Step 3: Cross multiply
    4,174.92x = 5,765.76 × 2,852.04
  4. Step 4: Simplify right side
    4,174.92x = 16,444,178.15
  5. Step 5: Solve for x
    x = 16,444,178.15/4,174.92
  6. Step 6: Final answer
    x = 3,938.80

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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.