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Finding the Fourth Proportional to 3,697.74, 5,101.38 and 2,205.09

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Solution

The fourth proportional to 3,697.74, 5,101.38 and 2,205.09 is: 3,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.74 : 5,101.38 = 2,205.09 : x
  2. Step 2: Convert to fraction form
    3,697.74/5,101.38 = 2,205.09/x
  3. Step 3: Cross multiply
    3,697.74x = 5,101.38 × 2,205.09
  4. Step 4: Simplify right side
    3,697.74x = 11,249,002.02
  5. Step 5: Solve for x
    x = 11,249,002.02/3,697.74
  6. Step 6: Final answer
    x = 3,042.13

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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.