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Finding the Fourth Proportional to 3,658.25, 5,046.77 and 2,874.58

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Solution

The fourth proportional to 3,658.25, 5,046.77 and 2,874.58 is: 3,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.25 : 5,046.77 = 2,874.58 : x
  2. Step 2: Convert to fraction form
    3,658.25/5,046.77 = 2,874.58/x
  3. Step 3: Cross multiply
    3,658.25x = 5,046.77 × 2,874.58
  4. Step 4: Simplify right side
    3,658.25x = 14,507,338.68
  5. Step 5: Solve for x
    x = 14,507,338.68/3,658.25
  6. Step 6: Final answer
    x = 3,965.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.