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Finding the Fourth Proportional to 5,164.97, 7,748.36 and 2,203.40

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Solution

The fourth proportional to 5,164.97, 7,748.36 and 2,203.40 is: 3,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.97 : 7,748.36 = 2,203.40 : x
  2. Step 2: Convert to fraction form
    5,164.97/7,748.36 = 2,203.40/x
  3. Step 3: Cross multiply
    5,164.97x = 7,748.36 × 2,203.40
  4. Step 4: Simplify right side
    5,164.97x = 17,072,753.04
  5. Step 5: Solve for x
    x = 17,072,753.04/5,164.97
  6. Step 6: Final answer
    x = 3,305.49

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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.