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Finding the Fourth Proportional to 3,697.67, 5,102.91 and 2,206.73

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Solution

The fourth proportional to 3,697.67, 5,102.91 and 2,206.73 is: 3,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.67 : 5,102.91 = 2,206.73 : x
  2. Step 2: Convert to fraction form
    3,697.67/5,102.91 = 2,206.73/x
  3. Step 3: Cross multiply
    3,697.67x = 5,102.91 × 2,206.73
  4. Step 4: Simplify right side
    3,697.67x = 11,260,719.07
  5. Step 5: Solve for x
    x = 11,260,719.07/3,697.67
  6. Step 6: Final answer
    x = 3,045.36

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1.5x scale

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.