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Finding the Fourth Proportional to 4,277.98, 5,896.87 and 3,214.22

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Solution

The fourth proportional to 4,277.98, 5,896.87 and 3,214.22 is: 4,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.98 : 5,896.87 = 3,214.22 : x
  2. Step 2: Convert to fraction form
    4,277.98/5,896.87 = 3,214.22/x
  3. Step 3: Cross multiply
    4,277.98x = 5,896.87 × 3,214.22
  4. Step 4: Simplify right side
    4,277.98x = 18,953,799.97
  5. Step 5: Solve for x
    x = 18,953,799.97/4,277.98
  6. Step 6: Final answer
    x = 4,430.55

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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.