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Finding the Fourth Proportional to 3,702.12, 5,558.31 and 3,293.88

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Solution

The fourth proportional to 3,702.12, 5,558.31 and 3,293.88 is: 4,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.12 : 5,558.31 = 3,293.88 : x
  2. Step 2: Convert to fraction form
    3,702.12/5,558.31 = 3,293.88/x
  3. Step 3: Cross multiply
    3,702.12x = 5,558.31 × 3,293.88
  4. Step 4: Simplify right side
    3,702.12x = 18,308,406.14
  5. Step 5: Solve for x
    x = 18,308,406.14/3,702.12
  6. Step 6: Final answer
    x = 4,945.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.