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Finding the Fourth Proportional to 4,102.62, 5,659.83 and 2,683.83

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Solution

The fourth proportional to 4,102.62, 5,659.83 and 2,683.83 is: 3,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.62 : 5,659.83 = 2,683.83 : x
  2. Step 2: Convert to fraction form
    4,102.62/5,659.83 = 2,683.83/x
  3. Step 3: Cross multiply
    4,102.62x = 5,659.83 × 2,683.83
  4. Step 4: Simplify right side
    4,102.62x = 15,190,021.55
  5. Step 5: Solve for x
    x = 15,190,021.55/4,102.62
  6. Step 6: Final answer
    x = 3,702.52

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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.