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Finding the Fourth Proportional to 4,074.86, 5,623.31 and 2,211.86

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Solution

The fourth proportional to 4,074.86, 5,623.31 and 2,211.86 is: 3,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.86 : 5,623.31 = 2,211.86 : x
  2. Step 2: Convert to fraction form
    4,074.86/5,623.31 = 2,211.86/x
  3. Step 3: Cross multiply
    4,074.86x = 5,623.31 × 2,211.86
  4. Step 4: Simplify right side
    4,074.86x = 12,437,974.46
  5. Step 5: Solve for x
    x = 12,437,974.46/4,074.86
  6. Step 6: Final answer
    x = 3,052.37

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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.