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Finding the Fourth Proportional to 3,854.88, 5,791.83 and 2,468.82

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Solution

The fourth proportional to 3,854.88, 5,791.83 and 2,468.82 is: 3,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.88 : 5,791.83 = 2,468.82 : x
  2. Step 2: Convert to fraction form
    3,854.88/5,791.83 = 2,468.82/x
  3. Step 3: Cross multiply
    3,854.88x = 5,791.83 × 2,468.82
  4. Step 4: Simplify right side
    3,854.88x = 14,298,985.74
  5. Step 5: Solve for x
    x = 14,298,985.74/3,854.88
  6. Step 6: Final answer
    x = 3,709.32

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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.