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Finding the Fourth Proportional to 5,413.76, 7,470.19 and 3,174.79

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Solution

The fourth proportional to 5,413.76, 7,470.19 and 3,174.79 is: 4,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.76 : 7,470.19 = 3,174.79 : x
  2. Step 2: Convert to fraction form
    5,413.76/7,470.19 = 3,174.79/x
  3. Step 3: Cross multiply
    5,413.76x = 7,470.19 × 3,174.79
  4. Step 4: Simplify right side
    5,413.76x = 23,716,284.51
  5. Step 5: Solve for x
    x = 23,716,284.51/5,413.76
  6. Step 6: Final answer
    x = 4,380.74

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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.