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Finding the Fourth Proportional to 5,407.41, 7,462.22 and 3,049.55

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Solution

The fourth proportional to 5,407.41, 7,462.22 and 3,049.55 is: 4,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.41 : 7,462.22 = 3,049.55 : x
  2. Step 2: Convert to fraction form
    5,407.41/7,462.22 = 3,049.55/x
  3. Step 3: Cross multiply
    5,407.41x = 7,462.22 × 3,049.55
  4. Step 4: Simplify right side
    5,407.41x = 22,756,413.00
  5. Step 5: Solve for x
    x = 22,756,413.00/5,407.41
  6. Step 6: Final answer
    x = 4,208.38

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Half scale
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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.