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Finding the Fourth Proportional to 5,451, 7,522.44 and 2,967

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Solution

The fourth proportional to 5,451, 7,522.44 and 2,967 is: 4,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451 : 7,522.44 = 2,967 : x
  2. Step 2: Convert to fraction form
    5,451/7,522.44 = 2,967/x
  3. Step 3: Cross multiply
    5,451x = 7,522.44 × 2,967
  4. Step 4: Simplify right side
    5,451x = 22,319,079.48
  5. Step 5: Solve for x
    x = 22,319,079.48/5,451
  6. Step 6: Final answer
    x = 4,094.49

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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.