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Finding the Fourth Proportional to 4,276.44, 6,414.54 and 2,332.44

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Solution

The fourth proportional to 4,276.44, 6,414.54 and 2,332.44 is: 3,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.44 : 6,414.54 = 2,332.44 : x
  2. Step 2: Convert to fraction form
    4,276.44/6,414.54 = 2,332.44/x
  3. Step 3: Cross multiply
    4,276.44x = 6,414.54 × 2,332.44
  4. Step 4: Simplify right side
    4,276.44x = 14,961,529.68
  5. Step 5: Solve for x
    x = 14,961,529.68/4,276.44
  6. Step 6: Final answer
    x = 3,498.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.