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Finding the Fourth Proportional to 3,865.52, 5,333.85 and 2,293.31

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Solution

The fourth proportional to 3,865.52, 5,333.85 and 2,293.31 is: 3,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.52 : 5,333.85 = 2,293.31 : x
  2. Step 2: Convert to fraction form
    3,865.52/5,333.85 = 2,293.31/x
  3. Step 3: Cross multiply
    3,865.52x = 5,333.85 × 2,293.31
  4. Step 4: Simplify right side
    3,865.52x = 12,232,184.88
  5. Step 5: Solve for x
    x = 12,232,184.88/3,865.52
  6. Step 6: Final answer
    x = 3,164.43

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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.