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Finding the Fourth Proportional to 3,934.32, 5,900.82 and 1,160.94

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Solution

The fourth proportional to 3,934.32, 5,900.82 and 1,160.94 is: 1,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.32 : 5,900.82 = 1,160.94 : x
  2. Step 2: Convert to fraction form
    3,934.32/5,900.82 = 1,160.94/x
  3. Step 3: Cross multiply
    3,934.32x = 5,900.82 × 1,160.94
  4. Step 4: Simplify right side
    3,934.32x = 6,850,497.97
  5. Step 5: Solve for x
    x = 6,850,497.97/3,934.32
  6. Step 6: Final answer
    x = 1,741.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.