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Finding the Fourth Proportional to 6,136.56, 8,462.04 and 4,038

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Solution

The fourth proportional to 6,136.56, 8,462.04 and 4,038 is: 5,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.56 : 8,462.04 = 4,038 : x
  2. Step 2: Convert to fraction form
    6,136.56/8,462.04 = 4,038/x
  3. Step 3: Cross multiply
    6,136.56x = 8,462.04 × 4,038
  4. Step 4: Simplify right side
    6,136.56x = 34,169,717.52
  5. Step 5: Solve for x
    x = 34,169,717.52/6,136.56
  6. Step 6: Final answer
    x = 5,568.22

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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.