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Finding the Fourth Proportional to 3,496.53, 5,245.01 and 1,304.52

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Solution

The fourth proportional to 3,496.53, 5,245.01 and 1,304.52 is: 1,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.53 : 5,245.01 = 1,304.52 : x
  2. Step 2: Convert to fraction form
    3,496.53/5,245.01 = 1,304.52/x
  3. Step 3: Cross multiply
    3,496.53x = 5,245.01 × 1,304.52
  4. Step 4: Simplify right side
    3,496.53x = 6,842,220.45
  5. Step 5: Solve for x
    x = 6,842,220.45/3,496.53
  6. Step 6: Final answer
    x = 1,956.86

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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.