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Finding the Fourth Proportional to 3,662.80, 5,055.64 and 2,264.76

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Solution

The fourth proportional to 3,662.80, 5,055.64 and 2,264.76 is: 3,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.80 : 5,055.64 = 2,264.76 : x
  2. Step 2: Convert to fraction form
    3,662.80/5,055.64 = 2,264.76/x
  3. Step 3: Cross multiply
    3,662.80x = 5,055.64 × 2,264.76
  4. Step 4: Simplify right side
    3,662.80x = 11,449,811.25
  5. Step 5: Solve for x
    x = 11,449,811.25/3,662.80
  6. Step 6: Final answer
    x = 3,125.97

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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.