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Finding the Fourth Proportional to 5,788.62, 7,988.24 and 3,136.02

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Solution

The fourth proportional to 5,788.62, 7,988.24 and 3,136.02 is: 4,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.62 : 7,988.24 = 3,136.02 : x
  2. Step 2: Convert to fraction form
    5,788.62/7,988.24 = 3,136.02/x
  3. Step 3: Cross multiply
    5,788.62x = 7,988.24 × 3,136.02
  4. Step 4: Simplify right side
    5,788.62x = 25,051,280.40
  5. Step 5: Solve for x
    x = 25,051,280.40/5,788.62
  6. Step 6: Final answer
    x = 4,327.68

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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.