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Finding the Fourth Proportional to 6,652.76, 9,180.42 and 3,668

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Solution

The fourth proportional to 6,652.76, 9,180.42 and 3,668 is: 5,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.76 : 9,180.42 = 3,668 : x
  2. Step 2: Convert to fraction form
    6,652.76/9,180.42 = 3,668/x
  3. Step 3: Cross multiply
    6,652.76x = 9,180.42 × 3,668
  4. Step 4: Simplify right side
    6,652.76x = 33,673,780.56
  5. Step 5: Solve for x
    x = 33,673,780.56/6,652.76
  6. Step 6: Final answer
    x = 5,061.63

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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.