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Finding the Fourth Proportional to 5,136, 7,077.34 and 3,715.12

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Solution

The fourth proportional to 5,136, 7,077.34 and 3,715.12 is: 5,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136 : 7,077.34 = 3,715.12 : x
  2. Step 2: Convert to fraction form
    5,136/7,077.34 = 3,715.12/x
  3. Step 3: Cross multiply
    5,136x = 7,077.34 × 3,715.12
  4. Step 4: Simplify right side
    5,136x = 26,293,167.38
  5. Step 5: Solve for x
    x = 26,293,167.38/5,136
  6. Step 6: Final answer
    x = 5,119.39

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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.