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Finding the Fourth Proportional to 3,179.66, 4,378.14 and 2,824.96

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Solution

The fourth proportional to 3,179.66, 4,378.14 and 2,824.96 is: 3,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.66 : 4,378.14 = 2,824.96 : x
  2. Step 2: Convert to fraction form
    3,179.66/4,378.14 = 2,824.96/x
  3. Step 3: Cross multiply
    3,179.66x = 4,378.14 × 2,824.96
  4. Step 4: Simplify right side
    3,179.66x = 12,368,070.37
  5. Step 5: Solve for x
    x = 12,368,070.37/3,179.66
  6. Step 6: Final answer
    x = 3,889.75

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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.