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Finding the Fourth Proportional to 4,180.76, 5,767.36 and 3,242.76

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Solution

The fourth proportional to 4,180.76, 5,767.36 and 3,242.76 is: 4,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.76 : 5,767.36 = 3,242.76 : x
  2. Step 2: Convert to fraction form
    4,180.76/5,767.36 = 3,242.76/x
  3. Step 3: Cross multiply
    4,180.76x = 5,767.36 × 3,242.76
  4. Step 4: Simplify right side
    4,180.76x = 18,702,164.31
  5. Step 5: Solve for x
    x = 18,702,164.31/4,180.76
  6. Step 6: Final answer
    x = 4,473.39

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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.