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Finding the Fourth Proportional to 5,049.52, 7,569.02 and 2,967.82

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Solution

The fourth proportional to 5,049.52, 7,569.02 and 2,967.82 is: 4,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.52 : 7,569.02 = 2,967.82 : x
  2. Step 2: Convert to fraction form
    5,049.52/7,569.02 = 2,967.82/x
  3. Step 3: Cross multiply
    5,049.52x = 7,569.02 × 2,967.82
  4. Step 4: Simplify right side
    5,049.52x = 22,463,474.10
  5. Step 5: Solve for x
    x = 22,463,474.10/5,049.52
  6. Step 6: Final answer
    x = 4,448.64

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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.