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Finding the Fourth Proportional to 5,738.64, 8,602.71 and 2,231.04

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Solution

The fourth proportional to 5,738.64, 8,602.71 and 2,231.04 is: 3,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.64 : 8,602.71 = 2,231.04 : x
  2. Step 2: Convert to fraction form
    5,738.64/8,602.71 = 2,231.04/x
  3. Step 3: Cross multiply
    5,738.64x = 8,602.71 × 2,231.04
  4. Step 4: Simplify right side
    5,738.64x = 19,192,990.12
  5. Step 5: Solve for x
    x = 19,192,990.12/5,738.64
  6. Step 6: Final answer
    x = 3,344.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.