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Finding the Fourth Proportional to 3,854.45, 5,781.68 and 2,468.44

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Solution

The fourth proportional to 3,854.45, 5,781.68 and 2,468.44 is: 3,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.45 : 5,781.68 = 2,468.44 : x
  2. Step 2: Convert to fraction form
    3,854.45/5,781.68 = 2,468.44/x
  3. Step 3: Cross multiply
    3,854.45x = 5,781.68 × 2,468.44
  4. Step 4: Simplify right side
    3,854.45x = 14,271,730.18
  5. Step 5: Solve for x
    x = 14,271,730.18/3,854.45
  6. Step 6: Final answer
    x = 3,702.66

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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.