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Finding the Fourth Proportional to 5,413.78, 7,471.02 and 3,023.74

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Solution

The fourth proportional to 5,413.78, 7,471.02 and 3,023.74 is: 4,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.78 : 7,471.02 = 3,023.74 : x
  2. Step 2: Convert to fraction form
    5,413.78/7,471.02 = 3,023.74/x
  3. Step 3: Cross multiply
    5,413.78x = 7,471.02 × 3,023.74
  4. Step 4: Simplify right side
    5,413.78x = 22,590,422.01
  5. Step 5: Solve for x
    x = 22,590,422.01/5,413.78
  6. Step 6: Final answer
    x = 4,172.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.