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Finding the Fourth Proportional to 3,702.67, 5,108.83 and 2,210.31

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Solution

The fourth proportional to 3,702.67, 5,108.83 and 2,210.31 is: 3,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.67 : 5,108.83 = 2,210.31 : x
  2. Step 2: Convert to fraction form
    3,702.67/5,108.83 = 2,210.31/x
  3. Step 3: Cross multiply
    3,702.67x = 5,108.83 × 2,210.31
  4. Step 4: Simplify right side
    3,702.67x = 11,292,098.04
  5. Step 5: Solve for x
    x = 11,292,098.04/3,702.67
  6. Step 6: Final answer
    x = 3,049.72

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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.