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Finding the Fourth Proportional to 4,102.64, 5,659.77 and 2,685.95

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Solution

The fourth proportional to 4,102.64, 5,659.77 and 2,685.95 is: 3,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.64 : 5,659.77 = 2,685.95 : x
  2. Step 2: Convert to fraction form
    4,102.64/5,659.77 = 2,685.95/x
  3. Step 3: Cross multiply
    4,102.64x = 5,659.77 × 2,685.95
  4. Step 4: Simplify right side
    4,102.64x = 15,201,859.23
  5. Step 5: Solve for x
    x = 15,201,859.23/4,102.64
  6. Step 6: Final answer
    x = 3,705.38

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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.