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Finding the Fourth Proportional to 3,536.79, 5,305.74 and 1,071.03

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Solution

The fourth proportional to 3,536.79, 5,305.74 and 1,071.03 is: 1,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.79 : 5,305.74 = 1,071.03 : x
  2. Step 2: Convert to fraction form
    3,536.79/5,305.74 = 1,071.03/x
  3. Step 3: Cross multiply
    3,536.79x = 5,305.74 × 1,071.03
  4. Step 4: Simplify right side
    3,536.79x = 5,682,589.80
  5. Step 5: Solve for x
    x = 5,682,589.80/3,536.79
  6. Step 6: Final answer
    x = 1,606.71

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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.