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Finding the Fourth Proportional to 5,788.74, 7,988.46 and 3,136.14

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Solution

The fourth proportional to 5,788.74, 7,988.46 and 3,136.14 is: 4,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.74 : 7,988.46 = 3,136.14 : x
  2. Step 2: Convert to fraction form
    5,788.74/7,988.46 = 3,136.14/x
  3. Step 3: Cross multiply
    5,788.74x = 7,988.46 × 3,136.14
  4. Step 4: Simplify right side
    5,788.74x = 25,052,928.94
  5. Step 5: Solve for x
    x = 25,052,928.94/5,788.74
  6. Step 6: Final answer
    x = 4,327.87

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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.