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Finding the Fourth Proportional to 3,714.07, 5,125.41 and 2,035.50

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Solution

The fourth proportional to 3,714.07, 5,125.41 and 2,035.50 is: 2,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.07 : 5,125.41 = 2,035.50 : x
  2. Step 2: Convert to fraction form
    3,714.07/5,125.41 = 2,035.50/x
  3. Step 3: Cross multiply
    3,714.07x = 5,125.41 × 2,035.50
  4. Step 4: Simplify right side
    3,714.07x = 10,432,772.06
  5. Step 5: Solve for x
    x = 10,432,772.06/3,714.07
  6. Step 6: Final answer
    x = 2,808.99

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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.