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Finding the Fourth Proportional to 3,496.53, 5,247.23 and 2,260.88

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Solution

The fourth proportional to 3,496.53, 5,247.23 and 2,260.88 is: 3,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.53 : 5,247.23 = 2,260.88 : x
  2. Step 2: Convert to fraction form
    3,496.53/5,247.23 = 2,260.88/x
  3. Step 3: Cross multiply
    3,496.53x = 5,247.23 × 2,260.88
  4. Step 4: Simplify right side
    3,496.53x = 11,863,357.36
  5. Step 5: Solve for x
    x = 11,863,357.36/3,496.53
  6. Step 6: Final answer
    x = 3,392.89

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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.