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Finding the Fourth Proportional to 3,697.38, 5,102.16 and 2,103.80

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Solution

The fourth proportional to 3,697.38, 5,102.16 and 2,103.80 is: 2,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.38 : 5,102.16 = 2,103.80 : x
  2. Step 2: Convert to fraction form
    3,697.38/5,102.16 = 2,103.80/x
  3. Step 3: Cross multiply
    3,697.38x = 5,102.16 × 2,103.80
  4. Step 4: Simplify right side
    3,697.38x = 10,733,924.21
  5. Step 5: Solve for x
    x = 10,733,924.21/3,697.38
  6. Step 6: Final answer
    x = 2,903.12

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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.