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Finding the Fourth Proportional to 3,697.26, 5,102.20 and 2,041.26

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Solution

The fourth proportional to 3,697.26, 5,102.20 and 2,041.26 is: 2,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.26 : 5,102.20 = 2,041.26 : x
  2. Step 2: Convert to fraction form
    3,697.26/5,102.20 = 2,041.26/x
  3. Step 3: Cross multiply
    3,697.26x = 5,102.20 × 2,041.26
  4. Step 4: Simplify right side
    3,697.26x = 10,414,916.77
  5. Step 5: Solve for x
    x = 10,414,916.77/3,697.26
  6. Step 6: Final answer
    x = 2,816.93

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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.