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Finding the Fourth Proportional to 4,104, 5,663.52 and 3,774.24

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Solution

The fourth proportional to 4,104, 5,663.52 and 3,774.24 is: 5,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104 : 5,663.52 = 3,774.24 : x
  2. Step 2: Convert to fraction form
    4,104/5,663.52 = 3,774.24/x
  3. Step 3: Cross multiply
    4,104x = 5,663.52 × 3,774.24
  4. Step 4: Simplify right side
    4,104x = 21,375,483.72
  5. Step 5: Solve for x
    x = 21,375,483.72/4,104
  6. Step 6: Final answer
    x = 5,208.45

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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.