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Finding the Fourth Proportional to 5,770.60, 7,965.06 and 3,413.56

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Solution

The fourth proportional to 5,770.60, 7,965.06 and 3,413.56 is: 4,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.60 : 7,965.06 = 3,413.56 : x
  2. Step 2: Convert to fraction form
    5,770.60/7,965.06 = 3,413.56/x
  3. Step 3: Cross multiply
    5,770.60x = 7,965.06 × 3,413.56
  4. Step 4: Simplify right side
    5,770.60x = 27,189,210.21
  5. Step 5: Solve for x
    x = 27,189,210.21/5,770.60
  6. Step 6: Final answer
    x = 4,711.68

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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.