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Finding the Fourth Proportional to 3,702.08, 5,109 and 2,023.59

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Solution

The fourth proportional to 3,702.08, 5,109 and 2,023.59 is: 2,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.08 : 5,109 = 2,023.59 : x
  2. Step 2: Convert to fraction form
    3,702.08/5,109 = 2,023.59/x
  3. Step 3: Cross multiply
    3,702.08x = 5,109 × 2,023.59
  4. Step 4: Simplify right side
    3,702.08x = 10,338,540.47
  5. Step 5: Solve for x
    x = 10,338,540.47/3,702.08
  6. Step 6: Final answer
    x = 2,792.63

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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.