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Finding the Fourth Proportional to 4,285.98, 5,914.65 and 2,422.98

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Solution

The fourth proportional to 4,285.98, 5,914.65 and 2,422.98 is: 3,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.98 : 5,914.65 = 2,422.98 : x
  2. Step 2: Convert to fraction form
    4,285.98/5,914.65 = 2,422.98/x
  3. Step 3: Cross multiply
    4,285.98x = 5,914.65 × 2,422.98
  4. Step 4: Simplify right side
    4,285.98x = 14,331,078.66
  5. Step 5: Solve for x
    x = 14,331,078.66/4,285.98
  6. Step 6: Final answer
    x = 3,343.71

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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.