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Finding the Fourth Proportional to 3,695.74, 5,100.20 and 2,017.22

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Solution

The fourth proportional to 3,695.74, 5,100.20 and 2,017.22 is: 2,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.74 : 5,100.20 = 2,017.22 : x
  2. Step 2: Convert to fraction form
    3,695.74/5,100.20 = 2,017.22/x
  3. Step 3: Cross multiply
    3,695.74x = 5,100.20 × 2,017.22
  4. Step 4: Simplify right side
    3,695.74x = 10,288,197.42
  5. Step 5: Solve for x
    x = 10,288,197.42/3,695.74
  6. Step 6: Final answer
    x = 2,783.80

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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.