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Finding the Fourth Proportional to 3,702.73, 5,109.74 and 2,024.13

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Solution

The fourth proportional to 3,702.73, 5,109.74 and 2,024.13 is: 2,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.73 : 5,109.74 = 2,024.13 : x
  2. Step 2: Convert to fraction form
    3,702.73/5,109.74 = 2,024.13/x
  3. Step 3: Cross multiply
    3,702.73x = 5,109.74 × 2,024.13
  4. Step 4: Simplify right side
    3,702.73x = 10,342,783.09
  5. Step 5: Solve for x
    x = 10,342,783.09/3,702.73
  6. Step 6: Final answer
    x = 2,793.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.