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Finding the Fourth Proportional to 3,700.88, 5,107.32 and 2,022.38

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Solution

The fourth proportional to 3,700.88, 5,107.32 and 2,022.38 is: 2,790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.88 : 5,107.32 = 2,022.38 : x
  2. Step 2: Convert to fraction form
    3,700.88/5,107.32 = 2,022.38/x
  3. Step 3: Cross multiply
    3,700.88x = 5,107.32 × 2,022.38
  4. Step 4: Simplify right side
    3,700.88x = 10,328,941.82
  5. Step 5: Solve for x
    x = 10,328,941.82/3,700.88
  6. Step 6: Final answer
    x = 2,790.94

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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.