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Finding the Fourth Proportional to 3,689.48, 5,092.55 and 2,413.54

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Solution

The fourth proportional to 3,689.48, 5,092.55 and 2,413.54 is: 3,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.48 : 5,092.55 = 2,413.54 : x
  2. Step 2: Convert to fraction form
    3,689.48/5,092.55 = 2,413.54/x
  3. Step 3: Cross multiply
    3,689.48x = 5,092.55 × 2,413.54
  4. Step 4: Simplify right side
    3,689.48x = 12,291,061.06
  5. Step 5: Solve for x
    x = 12,291,061.06/3,689.48
  6. Step 6: Final answer
    x = 3,331.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.