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Finding the Fourth Proportional to 3,908.44, 5,857.86 and 1,714.60

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Solution

The fourth proportional to 3,908.44, 5,857.86 and 1,714.60 is: 2,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.44 : 5,857.86 = 1,714.60 : x
  2. Step 2: Convert to fraction form
    3,908.44/5,857.86 = 1,714.60/x
  3. Step 3: Cross multiply
    3,908.44x = 5,857.86 × 1,714.60
  4. Step 4: Simplify right side
    3,908.44x = 10,043,886.76
  5. Step 5: Solve for x
    x = 10,043,886.76/3,908.44
  6. Step 6: Final answer
    x = 2,569.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.