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Finding the Fourth Proportional to 3,697.86, 5,103.06 and 2,126.46

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Solution

The fourth proportional to 3,697.86, 5,103.06 and 2,126.46 is: 2,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.86 : 5,103.06 = 2,126.46 : x
  2. Step 2: Convert to fraction form
    3,697.86/5,103.06 = 2,126.46/x
  3. Step 3: Cross multiply
    3,697.86x = 5,103.06 × 2,126.46
  4. Step 4: Simplify right side
    3,697.86x = 10,851,452.97
  5. Step 5: Solve for x
    x = 10,851,452.97/3,697.86
  6. Step 6: Final answer
    x = 2,934.52

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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.