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Finding the Fourth Proportional to 4,647.97, 6,413.74 and 2,658.61

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Solution

The fourth proportional to 4,647.97, 6,413.74 and 2,658.61 is: 3,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.97 : 6,413.74 = 2,658.61 : x
  2. Step 2: Convert to fraction form
    4,647.97/6,413.74 = 2,658.61/x
  3. Step 3: Cross multiply
    4,647.97x = 6,413.74 × 2,658.61
  4. Step 4: Simplify right side
    4,647.97x = 17,051,633.30
  5. Step 5: Solve for x
    x = 17,051,633.30/4,647.97
  6. Step 6: Final answer
    x = 3,668.62

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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.