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Finding the Fourth Proportional to 3,695.75, 5,100.10 and 2,017.16

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Solution

The fourth proportional to 3,695.75, 5,100.10 and 2,017.16 is: 2,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.75 : 5,100.10 = 2,017.16 : x
  2. Step 2: Convert to fraction form
    3,695.75/5,100.10 = 2,017.16/x
  3. Step 3: Cross multiply
    3,695.75x = 5,100.10 × 2,017.16
  4. Step 4: Simplify right side
    3,695.75x = 10,287,713.86
  5. Step 5: Solve for x
    x = 10,287,713.86/3,695.75
  6. Step 6: Final answer
    x = 2,783.66

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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.