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Finding the Fourth Proportional to 5,296.78, 7,945.44 and 2,008.72

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Solution

The fourth proportional to 5,296.78, 7,945.44 and 2,008.72 is: 3,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.78 : 7,945.44 = 2,008.72 : x
  2. Step 2: Convert to fraction form
    5,296.78/7,945.44 = 2,008.72/x
  3. Step 3: Cross multiply
    5,296.78x = 7,945.44 × 2,008.72
  4. Step 4: Simplify right side
    5,296.78x = 15,960,164.24
  5. Step 5: Solve for x
    x = 15,960,164.24/5,296.78
  6. Step 6: Final answer
    x = 3,013.18

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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.