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Finding the Fourth Proportional to 5,884.60, 8,800.98 and 3,413.02

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Solution

The fourth proportional to 5,884.60, 8,800.98 and 3,413.02 is: 5,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.60 : 8,800.98 = 3,413.02 : x
  2. Step 2: Convert to fraction form
    5,884.60/8,800.98 = 3,413.02/x
  3. Step 3: Cross multiply
    5,884.60x = 8,800.98 × 3,413.02
  4. Step 4: Simplify right side
    5,884.60x = 30,037,920.76
  5. Step 5: Solve for x
    x = 30,037,920.76/5,884.60
  6. Step 6: Final answer
    x = 5,104.50

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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.