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Finding the Fourth Proportional to 3,422.66, 4,725.95 and 2,678.74

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Solution

The fourth proportional to 3,422.66, 4,725.95 and 2,678.74 is: 3,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.66 : 4,725.95 = 2,678.74 : x
  2. Step 2: Convert to fraction form
    3,422.66/4,725.95 = 2,678.74/x
  3. Step 3: Cross multiply
    3,422.66x = 4,725.95 × 2,678.74
  4. Step 4: Simplify right side
    3,422.66x = 12,659,591.30
  5. Step 5: Solve for x
    x = 12,659,591.30/3,422.66
  6. Step 6: Final answer
    x = 3,698.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.