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Finding the Fourth Proportional to 3,469.98, 5,202 and 2,371.08

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Solution

The fourth proportional to 3,469.98, 5,202 and 2,371.08 is: 3,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.98 : 5,202 = 2,371.08 : x
  2. Step 2: Convert to fraction form
    3,469.98/5,202 = 2,371.08/x
  3. Step 3: Cross multiply
    3,469.98x = 5,202 × 2,371.08
  4. Step 4: Simplify right side
    3,469.98x = 12,334,358.16
  5. Step 5: Solve for x
    x = 12,334,358.16/3,469.98
  6. Step 6: Final answer
    x = 3,554.59

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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.