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Finding the Fourth Proportional to 4,285.27, 5,913.71 and 2,422.27

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Solution

The fourth proportional to 4,285.27, 5,913.71 and 2,422.27 is: 3,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.27 : 5,913.71 = 2,422.27 : x
  2. Step 2: Convert to fraction form
    4,285.27/5,913.71 = 2,422.27/x
  3. Step 3: Cross multiply
    4,285.27x = 5,913.71 × 2,422.27
  4. Step 4: Simplify right side
    4,285.27x = 14,324,602.32
  5. Step 5: Solve for x
    x = 14,324,602.32/4,285.27
  6. Step 6: Final answer
    x = 3,342.75

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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.