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Finding the Fourth Proportional to 5,635.60, 8,413.22 and 4,805.20

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Solution

The fourth proportional to 5,635.60, 8,413.22 and 4,805.20 is: 7,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.60 : 8,413.22 = 4,805.20 : x
  2. Step 2: Convert to fraction form
    5,635.60/8,413.22 = 4,805.20/x
  3. Step 3: Cross multiply
    5,635.60x = 8,413.22 × 4,805.20
  4. Step 4: Simplify right side
    5,635.60x = 40,427,204.74
  5. Step 5: Solve for x
    x = 40,427,204.74/5,635.60
  6. Step 6: Final answer
    x = 7,173.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.