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Finding the Fourth Proportional to 3,536.14, 5,304.14 and 939

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Solution

The fourth proportional to 3,536.14, 5,304.14 and 939 is: 1,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.14 : 5,304.14 = 939 : x
  2. Step 2: Convert to fraction form
    3,536.14/5,304.14 = 939/x
  3. Step 3: Cross multiply
    3,536.14x = 5,304.14 × 939
  4. Step 4: Simplify right side
    3,536.14x = 4,980,587.46
  5. Step 5: Solve for x
    x = 4,980,587.46/3,536.14
  6. Step 6: Final answer
    x = 1,408.48

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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.