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Finding the Fourth Proportional to 3,662.64, 5,054.64 and 2,265.12

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Solution

The fourth proportional to 3,662.64, 5,054.64 and 2,265.12 is: 3,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.64 : 5,054.64 = 2,265.12 : x
  2. Step 2: Convert to fraction form
    3,662.64/5,054.64 = 2,265.12/x
  3. Step 3: Cross multiply
    3,662.64x = 5,054.64 × 2,265.12
  4. Step 4: Simplify right side
    3,662.64x = 11,449,366.16
  5. Step 5: Solve for x
    x = 11,449,366.16/3,662.64
  6. Step 6: Final answer
    x = 3,125.99

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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.