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Finding the Fourth Proportional to 5,469.98, 8,205.47 and 2,349.29

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Solution

The fourth proportional to 5,469.98, 8,205.47 and 2,349.29 is: 3,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.98 : 8,205.47 = 2,349.29 : x
  2. Step 2: Convert to fraction form
    5,469.98/8,205.47 = 2,349.29/x
  3. Step 3: Cross multiply
    5,469.98x = 8,205.47 × 2,349.29
  4. Step 4: Simplify right side
    5,469.98x = 19,276,975.84
  5. Step 5: Solve for x
    x = 19,276,975.84/5,469.98
  6. Step 6: Final answer
    x = 3,524.14

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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.