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Finding the Fourth Proportional to 3,537.66, 4,882.02 and 1,965.86

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Solution

The fourth proportional to 3,537.66, 4,882.02 and 1,965.86 is: 2,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.66 : 4,882.02 = 1,965.86 : x
  2. Step 2: Convert to fraction form
    3,537.66/4,882.02 = 1,965.86/x
  3. Step 3: Cross multiply
    3,537.66x = 4,882.02 × 1,965.86
  4. Step 4: Simplify right side
    3,537.66x = 9,597,343.43
  5. Step 5: Solve for x
    x = 9,597,343.43/3,537.66
  6. Step 6: Final answer
    x = 2,712.91

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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.