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Finding the Fourth Proportional to 5,876.48, 8,108.64 and 3,392

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Solution

The fourth proportional to 5,876.48, 8,108.64 and 3,392 is: 4,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.48 : 8,108.64 = 3,392 : x
  2. Step 2: Convert to fraction form
    5,876.48/8,108.64 = 3,392/x
  3. Step 3: Cross multiply
    5,876.48x = 8,108.64 × 3,392
  4. Step 4: Simplify right side
    5,876.48x = 27,504,506.88
  5. Step 5: Solve for x
    x = 27,504,506.88/5,876.48
  6. Step 6: Final answer
    x = 4,680.44

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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.