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Finding the Fourth Proportional to 3,496.50, 5,244.36 and 899.46

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Solution

The fourth proportional to 3,496.50, 5,244.36 and 899.46 is: 1,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.50 : 5,244.36 = 899.46 : x
  2. Step 2: Convert to fraction form
    3,496.50/5,244.36 = 899.46/x
  3. Step 3: Cross multiply
    3,496.50x = 5,244.36 × 899.46
  4. Step 4: Simplify right side
    3,496.50x = 4,717,092.05
  5. Step 5: Solve for x
    x = 4,717,092.05/3,496.50
  6. Step 6: Final answer
    x = 1,349.09

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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.