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Finding the Fourth Proportional to 3,698.42, 5,103.27 and 2,126.21

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Solution

The fourth proportional to 3,698.42, 5,103.27 and 2,126.21 is: 2,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.42 : 5,103.27 = 2,126.21 : x
  2. Step 2: Convert to fraction form
    3,698.42/5,103.27 = 2,126.21/x
  3. Step 3: Cross multiply
    3,698.42x = 5,103.27 × 2,126.21
  4. Step 4: Simplify right side
    3,698.42x = 10,850,623.71
  5. Step 5: Solve for x
    x = 10,850,623.71/3,698.42
  6. Step 6: Final answer
    x = 2,933.85

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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.