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Finding the Fourth Proportional to 3,683.54, 5,078.08 and 2,633.78

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Solution

The fourth proportional to 3,683.54, 5,078.08 and 2,633.78 is: 3,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.54 : 5,078.08 = 2,633.78 : x
  2. Step 2: Convert to fraction form
    3,683.54/5,078.08 = 2,633.78/x
  3. Step 3: Cross multiply
    3,683.54x = 5,078.08 × 2,633.78
  4. Step 4: Simplify right side
    3,683.54x = 13,374,545.54
  5. Step 5: Solve for x
    x = 13,374,545.54/3,683.54
  6. Step 6: Final answer
    x = 3,630.89

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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.