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Finding the Fourth Proportional to 3,774.52, 5,208.80 and 2,203.92

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Solution

The fourth proportional to 3,774.52, 5,208.80 and 2,203.92 is: 3,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.52 : 5,208.80 = 2,203.92 : x
  2. Step 2: Convert to fraction form
    3,774.52/5,208.80 = 2,203.92/x
  3. Step 3: Cross multiply
    3,774.52x = 5,208.80 × 2,203.92
  4. Step 4: Simplify right side
    3,774.52x = 11,479,778.50
  5. Step 5: Solve for x
    x = 11,479,778.50/3,774.52
  6. Step 6: Final answer
    x = 3,041.39

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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.