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Finding the Fourth Proportional to 4,019, 6,031.74 and 2,071.76

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Solution

The fourth proportional to 4,019, 6,031.74 and 2,071.76 is: 3,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019 : 6,031.74 = 2,071.76 : x
  2. Step 2: Convert to fraction form
    4,019/6,031.74 = 2,071.76/x
  3. Step 3: Cross multiply
    4,019x = 6,031.74 × 2,071.76
  4. Step 4: Simplify right side
    4,019x = 12,496,317.66
  5. Step 5: Solve for x
    x = 12,496,317.66/4,019
  6. Step 6: Final answer
    x = 3,109.31

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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.