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Finding the Fourth Proportional to 3,633.25, 5,449.88 and 897.25

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Solution

The fourth proportional to 3,633.25, 5,449.88 and 897.25 is: 1,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.25 : 5,449.88 = 897.25 : x
  2. Step 2: Convert to fraction form
    3,633.25/5,449.88 = 897.25/x
  3. Step 3: Cross multiply
    3,633.25x = 5,449.88 × 897.25
  4. Step 4: Simplify right side
    3,633.25x = 4,889,900.34
  5. Step 5: Solve for x
    x = 4,889,900.34/3,633.25
  6. Step 6: Final answer
    x = 1,345.88

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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.