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Finding the Fourth Proportional to 3,800.97, 5,693.50 and 3,056.55

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Solution

The fourth proportional to 3,800.97, 5,693.50 and 3,056.55 is: 4,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.97 : 5,693.50 = 3,056.55 : x
  2. Step 2: Convert to fraction form
    3,800.97/5,693.50 = 3,056.55/x
  3. Step 3: Cross multiply
    3,800.97x = 5,693.50 × 3,056.55
  4. Step 4: Simplify right side
    3,800.97x = 17,402,467.43
  5. Step 5: Solve for x
    x = 17,402,467.43/3,800.97
  6. Step 6: Final answer
    x = 4,578.43

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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.