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Finding the Fourth Proportional to 3,863.63, 5,745.74 and 3,740.61

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Solution

The fourth proportional to 3,863.63, 5,745.74 and 3,740.61 is: 5,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.63 : 5,745.74 = 3,740.61 : x
  2. Step 2: Convert to fraction form
    3,863.63/5,745.74 = 3,740.61/x
  3. Step 3: Cross multiply
    3,863.63x = 5,745.74 × 3,740.61
  4. Step 4: Simplify right side
    3,863.63x = 21,492,553.80
  5. Step 5: Solve for x
    x = 21,492,553.80/3,863.63
  6. Step 6: Final answer
    x = 5,562.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.