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Finding the Fourth Proportional to 3,883.43, 5,802.38 and 2,878.46

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Solution

The fourth proportional to 3,883.43, 5,802.38 and 2,878.46 is: 4,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.43 : 5,802.38 = 2,878.46 : x
  2. Step 2: Convert to fraction form
    3,883.43/5,802.38 = 2,878.46/x
  3. Step 3: Cross multiply
    3,883.43x = 5,802.38 × 2,878.46
  4. Step 4: Simplify right side
    3,883.43x = 16,701,918.73
  5. Step 5: Solve for x
    x = 16,701,918.73/3,883.43
  6. Step 6: Final answer
    x = 4,300.82

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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.