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Finding the Fourth Proportional to 5,586.65, 7,709.94 and 3,694.94

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Solution

The fourth proportional to 5,586.65, 7,709.94 and 3,694.94 is: 5,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.65 : 7,709.94 = 3,694.94 : x
  2. Step 2: Convert to fraction form
    5,586.65/7,709.94 = 3,694.94/x
  3. Step 3: Cross multiply
    5,586.65x = 7,709.94 × 3,694.94
  4. Step 4: Simplify right side
    5,586.65x = 28,487,727.15
  5. Step 5: Solve for x
    x = 28,487,727.15/5,586.65
  6. Step 6: Final answer
    x = 5,099.25

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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.