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Finding the Fourth Proportional to 3,502.57, 5,249.17 and 2,573.77

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Solution

The fourth proportional to 3,502.57, 5,249.17 and 2,573.77 is: 3,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.57 : 5,249.17 = 2,573.77 : x
  2. Step 2: Convert to fraction form
    3,502.57/5,249.17 = 2,573.77/x
  3. Step 3: Cross multiply
    3,502.57x = 5,249.17 × 2,573.77
  4. Step 4: Simplify right side
    3,502.57x = 13,510,156.27
  5. Step 5: Solve for x
    x = 13,510,156.27/3,502.57
  6. Step 6: Final answer
    x = 3,857.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.