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Finding the Fourth Proportional to 3,536.53, 5,304.83 and 939.47

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Solution

The fourth proportional to 3,536.53, 5,304.83 and 939.47 is: 1,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.53 : 5,304.83 = 939.47 : x
  2. Step 2: Convert to fraction form
    3,536.53/5,304.83 = 939.47/x
  3. Step 3: Cross multiply
    3,536.53x = 5,304.83 × 939.47
  4. Step 4: Simplify right side
    3,536.53x = 4,983,697.42
  5. Step 5: Solve for x
    x = 4,983,697.42/3,536.53
  6. Step 6: Final answer
    x = 1,409.21

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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.