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Finding the Fourth Proportional to 3,497.43, 4,819.65 and 3,269.01

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Solution

The fourth proportional to 3,497.43, 4,819.65 and 3,269.01 is: 4,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.43 : 4,819.65 = 3,269.01 : x
  2. Step 2: Convert to fraction form
    3,497.43/4,819.65 = 3,269.01/x
  3. Step 3: Cross multiply
    3,497.43x = 4,819.65 × 3,269.01
  4. Step 4: Simplify right side
    3,497.43x = 15,755,484.05
  5. Step 5: Solve for x
    x = 15,755,484.05/3,497.43
  6. Step 6: Final answer
    x = 4,504.87

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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.