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Finding the Fourth Proportional to 4,893.41, 7,340.52 and 1,606.43

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Solution

The fourth proportional to 4,893.41, 7,340.52 and 1,606.43 is: 2,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.41 : 7,340.52 = 1,606.43 : x
  2. Step 2: Convert to fraction form
    4,893.41/7,340.52 = 1,606.43/x
  3. Step 3: Cross multiply
    4,893.41x = 7,340.52 × 1,606.43
  4. Step 4: Simplify right side
    4,893.41x = 11,792,031.54
  5. Step 5: Solve for x
    x = 11,792,031.54/4,893.41
  6. Step 6: Final answer
    x = 2,409.78

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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.