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Finding the Fourth Proportional to 3,404.90, 4,699.44 and 2,211.38

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Solution

The fourth proportional to 3,404.90, 4,699.44 and 2,211.38 is: 3,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.90 : 4,699.44 = 2,211.38 : x
  2. Step 2: Convert to fraction form
    3,404.90/4,699.44 = 2,211.38/x
  3. Step 3: Cross multiply
    3,404.90x = 4,699.44 × 2,211.38
  4. Step 4: Simplify right side
    3,404.90x = 10,392,247.63
  5. Step 5: Solve for x
    x = 10,392,247.63/3,404.90
  6. Step 6: Final answer
    x = 3,052.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.