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Finding the Fourth Proportional to 5,463.52, 8,199.68 and 2,868

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Solution

The fourth proportional to 5,463.52, 8,199.68 and 2,868 is: 4,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.52 : 8,199.68 = 2,868 : x
  2. Step 2: Convert to fraction form
    5,463.52/8,199.68 = 2,868/x
  3. Step 3: Cross multiply
    5,463.52x = 8,199.68 × 2,868
  4. Step 4: Simplify right side
    5,463.52x = 23,516,682.24
  5. Step 5: Solve for x
    x = 23,516,682.24/5,463.52
  6. Step 6: Final answer
    x = 4,304.31

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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.