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Finding the Fourth Proportional to 4,176.34, 5,765.04 and 2,851.42

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Solution

The fourth proportional to 4,176.34, 5,765.04 and 2,851.42 is: 3,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.34 : 5,765.04 = 2,851.42 : x
  2. Step 2: Convert to fraction form
    4,176.34/5,765.04 = 2,851.42/x
  3. Step 3: Cross multiply
    4,176.34x = 5,765.04 × 2,851.42
  4. Step 4: Simplify right side
    4,176.34x = 16,438,550.36
  5. Step 5: Solve for x
    x = 16,438,550.36/4,176.34
  6. Step 6: Final answer
    x = 3,936.11

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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.