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Finding the Fourth Proportional to 5,413.84, 7,471.06 and 3,023.68

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Solution

The fourth proportional to 5,413.84, 7,471.06 and 3,023.68 is: 4,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.84 : 7,471.06 = 3,023.68 : x
  2. Step 2: Convert to fraction form
    5,413.84/7,471.06 = 3,023.68/x
  3. Step 3: Cross multiply
    5,413.84x = 7,471.06 × 3,023.68
  4. Step 4: Simplify right side
    5,413.84x = 22,590,094.70
  5. Step 5: Solve for x
    x = 22,590,094.70/5,413.84
  6. Step 6: Final answer
    x = 4,172.66

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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.