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Finding the Fourth Proportional to 5,777.76, 8,671.50 and 5,413.26

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Solution

The fourth proportional to 5,777.76, 8,671.50 and 5,413.26 is: 8,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.76 : 8,671.50 = 5,413.26 : x
  2. Step 2: Convert to fraction form
    5,777.76/8,671.50 = 5,413.26/x
  3. Step 3: Cross multiply
    5,777.76x = 8,671.50 × 5,413.26
  4. Step 4: Simplify right side
    5,777.76x = 46,941,057.02
  5. Step 5: Solve for x
    x = 46,941,057.02/5,777.76
  6. Step 6: Final answer
    x = 8,124.44

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1.5x scale

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.