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Finding the Fourth Proportional to 4,287.96, 5,917.10 and 2,519.46

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Solution

The fourth proportional to 4,287.96, 5,917.10 and 2,519.46 is: 3,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.96 : 5,917.10 = 2,519.46 : x
  2. Step 2: Convert to fraction form
    4,287.96/5,917.10 = 2,519.46/x
  3. Step 3: Cross multiply
    4,287.96x = 5,917.10 × 2,519.46
  4. Step 4: Simplify right side
    4,287.96x = 14,907,884.17
  5. Step 5: Solve for x
    x = 14,907,884.17/4,287.96
  6. Step 6: Final answer
    x = 3,476.68

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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.