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Finding the Fourth Proportional to 3,502.05, 5,253.22 and 1,629.70

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Solution

The fourth proportional to 3,502.05, 5,253.22 and 1,629.70 is: 2,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.05 : 5,253.22 = 1,629.70 : x
  2. Step 2: Convert to fraction form
    3,502.05/5,253.22 = 1,629.70/x
  3. Step 3: Cross multiply
    3,502.05x = 5,253.22 × 1,629.70
  4. Step 4: Simplify right side
    3,502.05x = 8,561,172.63
  5. Step 5: Solve for x
    x = 8,561,172.63/3,502.05
  6. Step 6: Final answer
    x = 2,444.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.