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Finding the Fourth Proportional to 4,031.17, 6,044.04 and 2,057.50

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Solution

The fourth proportional to 4,031.17, 6,044.04 and 2,057.50 is: 3,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.17 : 6,044.04 = 2,057.50 : x
  2. Step 2: Convert to fraction form
    4,031.17/6,044.04 = 2,057.50/x
  3. Step 3: Cross multiply
    4,031.17x = 6,044.04 × 2,057.50
  4. Step 4: Simplify right side
    4,031.17x = 12,435,612.30
  5. Step 5: Solve for x
    x = 12,435,612.30/4,031.17
  6. Step 6: Final answer
    x = 3,084.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.