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Finding the Fourth Proportional to 3,697.23, 5,102.16 and 2,041.23

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Solution

The fourth proportional to 3,697.23, 5,102.16 and 2,041.23 is: 2,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.23 : 5,102.16 = 2,041.23 : x
  2. Step 2: Convert to fraction form
    3,697.23/5,102.16 = 2,041.23/x
  3. Step 3: Cross multiply
    3,697.23x = 5,102.16 × 2,041.23
  4. Step 4: Simplify right side
    3,697.23x = 10,414,671.85
  5. Step 5: Solve for x
    x = 10,414,671.85/3,697.23
  6. Step 6: Final answer
    x = 2,816.89

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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.