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Finding the Fourth Proportional to 5,367.95, 7,407.83 and 2,977.97

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Solution

The fourth proportional to 5,367.95, 7,407.83 and 2,977.97 is: 4,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.95 : 7,407.83 = 2,977.97 : x
  2. Step 2: Convert to fraction form
    5,367.95/7,407.83 = 2,977.97/x
  3. Step 3: Cross multiply
    5,367.95x = 7,407.83 × 2,977.97
  4. Step 4: Simplify right side
    5,367.95x = 22,060,257.54
  5. Step 5: Solve for x
    x = 22,060,257.54/5,367.95
  6. Step 6: Final answer
    x = 4,109.63

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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.