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Finding the Fourth Proportional to 5,736.39, 8,607.02 and 3,136.29

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Solution

The fourth proportional to 5,736.39, 8,607.02 and 3,136.29 is: 4,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.39 : 8,607.02 = 3,136.29 : x
  2. Step 2: Convert to fraction form
    5,736.39/8,607.02 = 3,136.29/x
  3. Step 3: Cross multiply
    5,736.39x = 8,607.02 × 3,136.29
  4. Step 4: Simplify right side
    5,736.39x = 26,994,110.76
  5. Step 5: Solve for x
    x = 26,994,110.76/5,736.39
  6. Step 6: Final answer
    x = 4,705.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.