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Finding the Fourth Proportional to 3,410.97, 4,709.46 and 2,612.88

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Solution

The fourth proportional to 3,410.97, 4,709.46 and 2,612.88 is: 3,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.97 : 4,709.46 = 2,612.88 : x
  2. Step 2: Convert to fraction form
    3,410.97/4,709.46 = 2,612.88/x
  3. Step 3: Cross multiply
    3,410.97x = 4,709.46 × 2,612.88
  4. Step 4: Simplify right side
    3,410.97x = 12,305,253.84
  5. Step 5: Solve for x
    x = 12,305,253.84/3,410.97
  6. Step 6: Final answer
    x = 3,607.55

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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.