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Finding the Fourth Proportional to 3,495.93, 5,243.49 and 1,304.42

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Solution

The fourth proportional to 3,495.93, 5,243.49 and 1,304.42 is: 1,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.93 : 5,243.49 = 1,304.42 : x
  2. Step 2: Convert to fraction form
    3,495.93/5,243.49 = 1,304.42/x
  3. Step 3: Cross multiply
    3,495.93x = 5,243.49 × 1,304.42
  4. Step 4: Simplify right side
    3,495.93x = 6,839,687.01
  5. Step 5: Solve for x
    x = 6,839,687.01/3,495.93
  6. Step 6: Final answer
    x = 1,956.47

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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.