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Finding the Fourth Proportional to 3,295.96, 4,549.91 and 2,102.55

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Solution

The fourth proportional to 3,295.96, 4,549.91 and 2,102.55 is: 2,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.96 : 4,549.91 = 2,102.55 : x
  2. Step 2: Convert to fraction form
    3,295.96/4,549.91 = 2,102.55/x
  3. Step 3: Cross multiply
    3,295.96x = 4,549.91 × 2,102.55
  4. Step 4: Simplify right side
    3,295.96x = 9,566,413.27
  5. Step 5: Solve for x
    x = 9,566,413.27/3,295.96
  6. Step 6: Final answer
    x = 2,902.47

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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.