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Finding the Fourth Proportional to 3,536.16, 5,303.80 and 939.28

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Solution

The fourth proportional to 3,536.16, 5,303.80 and 939.28 is: 1,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.16 : 5,303.80 = 939.28 : x
  2. Step 2: Convert to fraction form
    3,536.16/5,303.80 = 939.28/x
  3. Step 3: Cross multiply
    3,536.16x = 5,303.80 × 939.28
  4. Step 4: Simplify right side
    3,536.16x = 4,981,753.26
  5. Step 5: Solve for x
    x = 4,981,753.26/3,536.16
  6. Step 6: Final answer
    x = 1,408.80

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