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Finding the Fourth Proportional to 5,135.94, 7,691.76 and 3,182.22

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Solution

The fourth proportional to 5,135.94, 7,691.76 and 3,182.22 is: 4,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.94 : 7,691.76 = 3,182.22 : x
  2. Step 2: Convert to fraction form
    5,135.94/7,691.76 = 3,182.22/x
  3. Step 3: Cross multiply
    5,135.94x = 7,691.76 × 3,182.22
  4. Step 4: Simplify right side
    5,135.94x = 24,476,872.51
  5. Step 5: Solve for x
    x = 24,476,872.51/5,135.94
  6. Step 6: Final answer
    x = 4,765.80

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