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Finding the Fourth Proportional to 3,714.05, 5,125.38 and 2,035.46

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Solution

The fourth proportional to 3,714.05, 5,125.38 and 2,035.46 is: 2,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.05 : 5,125.38 = 2,035.46 : x
  2. Step 2: Convert to fraction form
    3,714.05/5,125.38 = 2,035.46/x
  3. Step 3: Cross multiply
    3,714.05x = 5,125.38 × 2,035.46
  4. Step 4: Simplify right side
    3,714.05x = 10,432,480.35
  5. Step 5: Solve for x
    x = 10,432,480.35/3,714.05
  6. Step 6: Final answer
    x = 2,808.93

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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.