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Finding the Fourth Proportional to 3,714.68, 5,126.06 and 2,035.79

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Solution

The fourth proportional to 3,714.68, 5,126.06 and 2,035.79 is: 2,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.68 : 5,126.06 = 2,035.79 : x
  2. Step 2: Convert to fraction form
    3,714.68/5,126.06 = 2,035.79/x
  3. Step 3: Cross multiply
    3,714.68x = 5,126.06 × 2,035.79
  4. Step 4: Simplify right side
    3,714.68x = 10,435,561.15
  5. Step 5: Solve for x
    x = 10,435,561.15/3,714.68
  6. Step 6: Final answer
    x = 2,809.28

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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.