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Finding the Fourth Proportional to 3,714.06, 5,125.20 and 2,035.44

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Solution

The fourth proportional to 3,714.06, 5,125.20 and 2,035.44 is: 2,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.06 : 5,125.20 = 2,035.44 : x
  2. Step 2: Convert to fraction form
    3,714.06/5,125.20 = 2,035.44/x
  3. Step 3: Cross multiply
    3,714.06x = 5,125.20 × 2,035.44
  4. Step 4: Simplify right side
    3,714.06x = 10,432,037.09
  5. Step 5: Solve for x
    x = 10,432,037.09/3,714.06
  6. Step 6: Final answer
    x = 2,808.80

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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.