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Finding the Fourth Proportional to 3,714.54, 5,125.82 and 2,035.64

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Solution

The fourth proportional to 3,714.54, 5,125.82 and 2,035.64 is: 2,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.54 : 5,125.82 = 2,035.64 : x
  2. Step 2: Convert to fraction form
    3,714.54/5,125.82 = 2,035.64/x
  3. Step 3: Cross multiply
    3,714.54x = 5,125.82 × 2,035.64
  4. Step 4: Simplify right side
    3,714.54x = 10,434,324.22
  5. Step 5: Solve for x
    x = 10,434,324.22/3,714.54
  6. Step 6: Final answer
    x = 2,809.05

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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.