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Finding the Fourth Proportional to 5,413.70, 7,470.79 and 3,023.57

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Solution

The fourth proportional to 5,413.70, 7,470.79 and 3,023.57 is: 4,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.70 : 7,470.79 = 3,023.57 : x
  2. Step 2: Convert to fraction form
    5,413.70/7,470.79 = 3,023.57/x
  3. Step 3: Cross multiply
    5,413.70x = 7,470.79 × 3,023.57
  4. Step 4: Simplify right side
    5,413.70x = 22,588,467.64
  5. Step 5: Solve for x
    x = 22,588,467.64/5,413.70
  6. Step 6: Final answer
    x = 4,172.46

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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.