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Finding the Fourth Proportional to 3,700.07, 5,106.21 and 2,021.57

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Solution

The fourth proportional to 3,700.07, 5,106.21 and 2,021.57 is: 2,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.07 : 5,106.21 = 2,021.57 : x
  2. Step 2: Convert to fraction form
    3,700.07/5,106.21 = 2,021.57/x
  3. Step 3: Cross multiply
    3,700.07x = 5,106.21 × 2,021.57
  4. Step 4: Simplify right side
    3,700.07x = 10,322,535.42
  5. Step 5: Solve for x
    x = 10,322,535.42/3,700.07
  6. Step 6: Final answer
    x = 2,789.83

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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.