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Finding the Fourth Proportional to 5,136.77, 7,088.78 and 2,837.22

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Solution

The fourth proportional to 5,136.77, 7,088.78 and 2,837.22 is: 3,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.77 : 7,088.78 = 2,837.22 : x
  2. Step 2: Convert to fraction form
    5,136.77/7,088.78 = 2,837.22/x
  3. Step 3: Cross multiply
    5,136.77x = 7,088.78 × 2,837.22
  4. Step 4: Simplify right side
    5,136.77x = 20,112,414.21
  5. Step 5: Solve for x
    x = 20,112,414.21/5,136.77
  6. Step 6: Final answer
    x = 3,915.39

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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.