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Finding the Fourth Proportional to 5,976.48, 8,963.76 and 1,872.48

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Solution

The fourth proportional to 5,976.48, 8,963.76 and 1,872.48 is: 2,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.48 : 8,963.76 = 1,872.48 : x
  2. Step 2: Convert to fraction form
    5,976.48/8,963.76 = 1,872.48/x
  3. Step 3: Cross multiply
    5,976.48x = 8,963.76 × 1,872.48
  4. Step 4: Simplify right side
    5,976.48x = 16,784,461.32
  5. Step 5: Solve for x
    x = 16,784,461.32/5,976.48
  6. Step 6: Final answer
    x = 2,808.42

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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.