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Finding the Fourth Proportional to 5,788.86, 7,988.61 and 3,136.33

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Solution

The fourth proportional to 5,788.86, 7,988.61 and 3,136.33 is: 4,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.86 : 7,988.61 = 3,136.33 : x
  2. Step 2: Convert to fraction form
    5,788.86/7,988.61 = 3,136.33/x
  3. Step 3: Cross multiply
    5,788.86x = 7,988.61 × 3,136.33
  4. Step 4: Simplify right side
    5,788.86x = 25,054,917.20
  5. Step 5: Solve for x
    x = 25,054,917.20/5,788.86
  6. Step 6: Final answer
    x = 4,328.13

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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.