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Finding the Fourth Proportional to 3,471.22, 5,207.64 and 1,006.09

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Solution

The fourth proportional to 3,471.22, 5,207.64 and 1,006.09 is: 1,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.22 : 5,207.64 = 1,006.09 : x
  2. Step 2: Convert to fraction form
    3,471.22/5,207.64 = 1,006.09/x
  3. Step 3: Cross multiply
    3,471.22x = 5,207.64 × 1,006.09
  4. Step 4: Simplify right side
    3,471.22x = 5,239,354.53
  5. Step 5: Solve for x
    x = 5,239,354.53/3,471.22
  6. Step 6: Final answer
    x = 1,509.37

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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.