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Finding the Fourth Proportional to 3,702.08, 5,108.90 and 2,023.49

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Solution

The fourth proportional to 3,702.08, 5,108.90 and 2,023.49 is: 2,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.08 : 5,108.90 = 2,023.49 : x
  2. Step 2: Convert to fraction form
    3,702.08/5,108.90 = 2,023.49/x
  3. Step 3: Cross multiply
    3,702.08x = 5,108.90 × 2,023.49
  4. Step 4: Simplify right side
    3,702.08x = 10,337,810.72
  5. Step 5: Solve for x
    x = 10,337,810.72/3,702.08
  6. Step 6: Final answer
    x = 2,792.43

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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.