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Finding the Fourth Proportional to 5,413.92, 8,124.12 and 2,335.92

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Solution

The fourth proportional to 5,413.92, 8,124.12 and 2,335.92 is: 3,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.92 : 8,124.12 = 2,335.92 : x
  2. Step 2: Convert to fraction form
    5,413.92/8,124.12 = 2,335.92/x
  3. Step 3: Cross multiply
    5,413.92x = 8,124.12 × 2,335.92
  4. Step 4: Simplify right side
    5,413.92x = 18,977,316.19
  5. Step 5: Solve for x
    x = 18,977,316.19/5,413.92
  6. Step 6: Final answer
    x = 3,505.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.