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Finding the Fourth Proportional to 3,800.97, 5,673.95 and 3,284.29

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Solution

The fourth proportional to 3,800.97, 5,673.95 and 3,284.29 is: 4,902.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.97 : 5,673.95 = 3,284.29 : x
  2. Step 2: Convert to fraction form
    3,800.97/5,673.95 = 3,284.29/x
  3. Step 3: Cross multiply
    3,800.97x = 5,673.95 × 3,284.29
  4. Step 4: Simplify right side
    3,800.97x = 18,634,880.82
  5. Step 5: Solve for x
    x = 18,634,880.82/3,800.97
  6. Step 6: Final answer
    x = 4,902.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.