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Finding the Fourth Proportional to 3,745.63, 5,612.50 and 2,508.49

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Solution

The fourth proportional to 3,745.63, 5,612.50 and 2,508.49 is: 3,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.63 : 5,612.50 = 2,508.49 : x
  2. Step 2: Convert to fraction form
    3,745.63/5,612.50 = 2,508.49/x
  3. Step 3: Cross multiply
    3,745.63x = 5,612.50 × 2,508.49
  4. Step 4: Simplify right side
    3,745.63x = 14,078,859.52
  5. Step 5: Solve for x
    x = 14,078,859.52/3,745.63
  6. Step 6: Final answer
    x = 3,758.75

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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.