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Finding the Fourth Proportional to 3,702.85, 5,109.92 and 2,024.26

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Solution

The fourth proportional to 3,702.85, 5,109.92 and 2,024.26 is: 2,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.85 : 5,109.92 = 2,024.26 : x
  2. Step 2: Convert to fraction form
    3,702.85/5,109.92 = 2,024.26/x
  3. Step 3: Cross multiply
    3,702.85x = 5,109.92 × 2,024.26
  4. Step 4: Simplify right side
    3,702.85x = 10,343,776.05
  5. Step 5: Solve for x
    x = 10,343,776.05/3,702.85
  6. Step 6: Final answer
    x = 2,793.46

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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.