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Finding the Fourth Proportional to 6,889.58, 10,335.70 and 2,940.78

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Solution

The fourth proportional to 6,889.58, 10,335.70 and 2,940.78 is: 4,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.58 : 10,335.70 = 2,940.78 : x
  2. Step 2: Convert to fraction form
    6,889.58/10,335.70 = 2,940.78/x
  3. Step 3: Cross multiply
    6,889.58x = 10,335.70 × 2,940.78
  4. Step 4: Simplify right side
    6,889.58x = 30,395,019.85
  5. Step 5: Solve for x
    x = 30,395,019.85/6,889.58
  6. Step 6: Final answer
    x = 4,411.74

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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.