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Finding the Fourth Proportional to 3,395.71, 4,688.85 and 2,766.34

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Solution

The fourth proportional to 3,395.71, 4,688.85 and 2,766.34 is: 3,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.71 : 4,688.85 = 2,766.34 : x
  2. Step 2: Convert to fraction form
    3,395.71/4,688.85 = 2,766.34/x
  3. Step 3: Cross multiply
    3,395.71x = 4,688.85 × 2,766.34
  4. Step 4: Simplify right side
    3,395.71x = 12,970,953.31
  5. Step 5: Solve for x
    x = 12,970,953.31/3,395.71
  6. Step 6: Final answer
    x = 3,819.81

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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.