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Finding the Fourth Proportional to 3,702.03, 5,109.14 and 2,023.68

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Solution

The fourth proportional to 3,702.03, 5,109.14 and 2,023.68 is: 2,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.03 : 5,109.14 = 2,023.68 : x
  2. Step 2: Convert to fraction form
    3,702.03/5,109.14 = 2,023.68/x
  3. Step 3: Cross multiply
    3,702.03x = 5,109.14 × 2,023.68
  4. Step 4: Simplify right side
    3,702.03x = 10,339,264.44
  5. Step 5: Solve for x
    x = 10,339,264.44/3,702.03
  6. Step 6: Final answer
    x = 2,792.86

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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.