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Finding the Fourth Proportional to 3,769.83, 5,199.69 and 2,354.22

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Solution

The fourth proportional to 3,769.83, 5,199.69 and 2,354.22 is: 3,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.83 : 5,199.69 = 2,354.22 : x
  2. Step 2: Convert to fraction form
    3,769.83/5,199.69 = 2,354.22/x
  3. Step 3: Cross multiply
    3,769.83x = 5,199.69 × 2,354.22
  4. Step 4: Simplify right side
    3,769.83x = 12,241,214.19
  5. Step 5: Solve for x
    x = 12,241,214.19/3,769.83
  6. Step 6: Final answer
    x = 3,247.15

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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.