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Finding the Fourth Proportional to 7,279.67, 10,921.64 and 2,349.20

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Solution

The fourth proportional to 7,279.67, 10,921.64 and 2,349.20 is: 3,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.67 : 10,921.64 = 2,349.20 : x
  2. Step 2: Convert to fraction form
    7,279.67/10,921.64 = 2,349.20/x
  3. Step 3: Cross multiply
    7,279.67x = 10,921.64 × 2,349.20
  4. Step 4: Simplify right side
    7,279.67x = 25,657,132.25
  5. Step 5: Solve for x
    x = 25,657,132.25/7,279.67
  6. Step 6: Final answer
    x = 3,524.49

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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.