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Finding the Fourth Proportional to 4,104, 5,663.88 and 2,335.68

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Solution

The fourth proportional to 4,104, 5,663.88 and 2,335.68 is: 3,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104 : 5,663.88 = 2,335.68 : x
  2. Step 2: Convert to fraction form
    4,104/5,663.88 = 2,335.68/x
  3. Step 3: Cross multiply
    4,104x = 5,663.88 × 2,335.68
  4. Step 4: Simplify right side
    4,104x = 13,229,011.24
  5. Step 5: Solve for x
    x = 13,229,011.24/4,104
  6. Step 6: Final answer
    x = 3,223.44

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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.