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Finding the Fourth Proportional to 3,634.25, 5,451.38 and 898.25

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Solution

The fourth proportional to 3,634.25, 5,451.38 and 898.25 is: 1,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.25 : 5,451.38 = 898.25 : x
  2. Step 2: Convert to fraction form
    3,634.25/5,451.38 = 898.25/x
  3. Step 3: Cross multiply
    3,634.25x = 5,451.38 × 898.25
  4. Step 4: Simplify right side
    3,634.25x = 4,896,702.09
  5. Step 5: Solve for x
    x = 4,896,702.09/3,634.25
  6. Step 6: Final answer
    x = 1,347.38

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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.