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Finding the Fourth Proportional to 5,413.79, 7,470.70 and 3,023.61

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Solution

The fourth proportional to 5,413.79, 7,470.70 and 3,023.61 is: 4,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.79 : 7,470.70 = 3,023.61 : x
  2. Step 2: Convert to fraction form
    5,413.79/7,470.70 = 3,023.61/x
  3. Step 3: Cross multiply
    5,413.79x = 7,470.70 × 3,023.61
  4. Step 4: Simplify right side
    5,413.79x = 22,588,483.23
  5. Step 5: Solve for x
    x = 22,588,483.23/5,413.79
  6. Step 6: Final answer
    x = 4,172.40

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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.