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Finding the Fourth Proportional to 3,737.89, 5,160.77 and 2,413.81

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Solution

The fourth proportional to 3,737.89, 5,160.77 and 2,413.81 is: 3,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.89 : 5,160.77 = 2,413.81 : x
  2. Step 2: Convert to fraction form
    3,737.89/5,160.77 = 2,413.81/x
  3. Step 3: Cross multiply
    3,737.89x = 5,160.77 × 2,413.81
  4. Step 4: Simplify right side
    3,737.89x = 12,457,118.23
  5. Step 5: Solve for x
    x = 12,457,118.23/3,737.89
  6. Step 6: Final answer
    x = 3,332.66

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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.