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Finding the Fourth Proportional to 3,798.92, 5,242.36 and 2,226.98

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Solution

The fourth proportional to 3,798.92, 5,242.36 and 2,226.98 is: 3,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.92 : 5,242.36 = 2,226.98 : x
  2. Step 2: Convert to fraction form
    3,798.92/5,242.36 = 2,226.98/x
  3. Step 3: Cross multiply
    3,798.92x = 5,242.36 × 2,226.98
  4. Step 4: Simplify right side
    3,798.92x = 11,674,630.87
  5. Step 5: Solve for x
    x = 11,674,630.87/3,798.92
  6. Step 6: Final answer
    x = 3,073.14

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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.