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Finding the Fourth Proportional to 4,018.50, 6,031 and 2,071.26

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Solution

The fourth proportional to 4,018.50, 6,031 and 2,071.26 is: 3,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,018.50 : 6,031 = 2,071.26 : x
  2. Step 2: Convert to fraction form
    4,018.50/6,031 = 2,071.26/x
  3. Step 3: Cross multiply
    4,018.50x = 6,031 × 2,071.26
  4. Step 4: Simplify right side
    4,018.50x = 12,491,769.06
  5. Step 5: Solve for x
    x = 12,491,769.06/4,018.50
  6. Step 6: Final answer
    x = 3,108.57

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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.