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Finding the Fourth Proportional to 3,702.44, 5,109.14 and 2,023.50

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Solution

The fourth proportional to 3,702.44, 5,109.14 and 2,023.50 is: 2,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.44 : 5,109.14 = 2,023.50 : x
  2. Step 2: Convert to fraction form
    3,702.44/5,109.14 = 2,023.50/x
  3. Step 3: Cross multiply
    3,702.44x = 5,109.14 × 2,023.50
  4. Step 4: Simplify right side
    3,702.44x = 10,338,344.79
  5. Step 5: Solve for x
    x = 10,338,344.79/3,702.44
  6. Step 6: Final answer
    x = 2,792.31

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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.