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Finding the Fourth Proportional to 5,149.65, 7,724.43 and 1,861.50

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Solution

The fourth proportional to 5,149.65, 7,724.43 and 1,861.50 is: 2,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.65 : 7,724.43 = 1,861.50 : x
  2. Step 2: Convert to fraction form
    5,149.65/7,724.43 = 1,861.50/x
  3. Step 3: Cross multiply
    5,149.65x = 7,724.43 × 1,861.50
  4. Step 4: Simplify right side
    5,149.65x = 14,379,026.45
  5. Step 5: Solve for x
    x = 14,379,026.45/5,149.65
  6. Step 6: Final answer
    x = 2,792.23

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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.