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Finding the Fourth Proportional to 3,740.68, 5,160.36 and 2,413.72

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Solution

The fourth proportional to 3,740.68, 5,160.36 and 2,413.72 is: 3,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.68 : 5,160.36 = 2,413.72 : x
  2. Step 2: Convert to fraction form
    3,740.68/5,160.36 = 2,413.72/x
  3. Step 3: Cross multiply
    3,740.68x = 5,160.36 × 2,413.72
  4. Step 4: Simplify right side
    3,740.68x = 12,455,664.14
  5. Step 5: Solve for x
    x = 12,455,664.14/3,740.68
  6. Step 6: Final answer
    x = 3,329.79

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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.