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Finding the Fourth Proportional to 3,745.71, 5,175.50 and 2,965.68

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Solution

The fourth proportional to 3,745.71, 5,175.50 and 2,965.68 is: 4,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.71 : 5,175.50 = 2,965.68 : x
  2. Step 2: Convert to fraction form
    3,745.71/5,175.50 = 2,965.68/x
  3. Step 3: Cross multiply
    3,745.71x = 5,175.50 × 2,965.68
  4. Step 4: Simplify right side
    3,745.71x = 15,348,862.01
  5. Step 5: Solve for x
    x = 15,348,862.01/3,745.71
  6. Step 6: Final answer
    x = 4,097.72

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1.5x scale

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.