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Finding the Fourth Proportional to 3,658.64, 5,032.97 and 3,208.49

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Solution

The fourth proportional to 3,658.64, 5,032.97 and 3,208.49 is: 4,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.64 : 5,032.97 = 3,208.49 : x
  2. Step 2: Convert to fraction form
    3,658.64/5,032.97 = 3,208.49/x
  3. Step 3: Cross multiply
    3,658.64x = 5,032.97 × 3,208.49
  4. Step 4: Simplify right side
    3,658.64x = 16,148,208.75
  5. Step 5: Solve for x
    x = 16,148,208.75/3,658.64
  6. Step 6: Final answer
    x = 4,413.72

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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.