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Finding the Fourth Proportional to 3,954.83, 5,458.03 and 2,277.20

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Solution

The fourth proportional to 3,954.83, 5,458.03 and 2,277.20 is: 3,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.83 : 5,458.03 = 2,277.20 : x
  2. Step 2: Convert to fraction form
    3,954.83/5,458.03 = 2,277.20/x
  3. Step 3: Cross multiply
    3,954.83x = 5,458.03 × 2,277.20
  4. Step 4: Simplify right side
    3,954.83x = 12,429,033.87
  5. Step 5: Solve for x
    x = 12,429,033.87/3,954.83
  6. Step 6: Final answer
    x = 3,142.75

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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.