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Finding the Fourth Proportional to 3,697.65, 5,101.79 and 2,206.08

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Solution

The fourth proportional to 3,697.65, 5,101.79 and 2,206.08 is: 3,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.65 : 5,101.79 = 2,206.08 : x
  2. Step 2: Convert to fraction form
    3,697.65/5,101.79 = 2,206.08/x
  3. Step 3: Cross multiply
    3,697.65x = 5,101.79 × 2,206.08
  4. Step 4: Simplify right side
    3,697.65x = 11,254,945.85
  5. Step 5: Solve for x
    x = 11,254,945.85/3,697.65
  6. Step 6: Final answer
    x = 3,043.81

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