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Finding the Fourth Proportional to 3,702.76, 5,109.78 and 2,024.20

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Solution

The fourth proportional to 3,702.76, 5,109.78 and 2,024.20 is: 2,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.76 : 5,109.78 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    3,702.76/5,109.78 = 2,024.20/x
  3. Step 3: Cross multiply
    3,702.76x = 5,109.78 × 2,024.20
  4. Step 4: Simplify right side
    3,702.76x = 10,343,216.68
  5. Step 5: Solve for x
    x = 10,343,216.68/3,702.76
  6. Step 6: Final answer
    x = 2,793.38

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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.