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Finding the Fourth Proportional to 3,652.90, 5,042.59 and 2,160.88

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Solution

The fourth proportional to 3,652.90, 5,042.59 and 2,160.88 is: 2,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.90 : 5,042.59 = 2,160.88 : x
  2. Step 2: Convert to fraction form
    3,652.90/5,042.59 = 2,160.88/x
  3. Step 3: Cross multiply
    3,652.90x = 5,042.59 × 2,160.88
  4. Step 4: Simplify right side
    3,652.90x = 10,896,413.87
  5. Step 5: Solve for x
    x = 10,896,413.87/3,652.90
  6. Step 6: Final answer
    x = 2,982.95

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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.