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Finding the Fourth Proportional to 3,844.53, 5,314.88 and 3,809.43

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Solution

The fourth proportional to 3,844.53, 5,314.88 and 3,809.43 is: 5,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.53 : 5,314.88 = 3,809.43 : x
  2. Step 2: Convert to fraction form
    3,844.53/5,314.88 = 3,809.43/x
  3. Step 3: Cross multiply
    3,844.53x = 5,314.88 × 3,809.43
  4. Step 4: Simplify right side
    3,844.53x = 20,246,644.27
  5. Step 5: Solve for x
    x = 20,246,644.27/3,844.53
  6. Step 6: Final answer
    x = 5,266.35

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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.