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Finding the Fourth Proportional to 5,644.00, 7,789.69 and 3,253.54

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Solution

The fourth proportional to 5,644.00, 7,789.69 and 3,253.54 is: 4,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.00 : 7,789.69 = 3,253.54 : x
  2. Step 2: Convert to fraction form
    5,644.00/7,789.69 = 3,253.54/x
  3. Step 3: Cross multiply
    5,644.00x = 7,789.69 × 3,253.54
  4. Step 4: Simplify right side
    5,644.00x = 25,344,055.00
  5. Step 5: Solve for x
    x = 25,344,055.00/5,644.00
  6. Step 6: Final answer
    x = 4,490.44

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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.