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Finding the Fourth Proportional to 3,702.06, 5,098.41 and 3,259.80

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Solution

The fourth proportional to 3,702.06, 5,098.41 and 3,259.80 is: 4,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.06 : 5,098.41 = 3,259.80 : x
  2. Step 2: Convert to fraction form
    3,702.06/5,098.41 = 3,259.80/x
  3. Step 3: Cross multiply
    3,702.06x = 5,098.41 × 3,259.80
  4. Step 4: Simplify right side
    3,702.06x = 16,619,796.92
  5. Step 5: Solve for x
    x = 16,619,796.92/3,702.06
  6. Step 6: Final answer
    x = 4,489.34

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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.