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Finding the Fourth Proportional to 4,789.82, 7,184.64 and 3,378.44

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Solution

The fourth proportional to 4,789.82, 7,184.64 and 3,378.44 is: 5,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.82 : 7,184.64 = 3,378.44 : x
  2. Step 2: Convert to fraction form
    4,789.82/7,184.64 = 3,378.44/x
  3. Step 3: Cross multiply
    4,789.82x = 7,184.64 × 3,378.44
  4. Step 4: Simplify right side
    4,789.82x = 24,272,875.16
  5. Step 5: Solve for x
    x = 24,272,875.16/4,789.82
  6. Step 6: Final answer
    x = 5,067.60

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1.5x scale

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.