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Finding the Fourth Proportional to 5,722.50, 8,586.99 and 2,644.50

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Solution

The fourth proportional to 5,722.50, 8,586.99 and 2,644.50 is: 3,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.50 : 8,586.99 = 2,644.50 : x
  2. Step 2: Convert to fraction form
    5,722.50/8,586.99 = 2,644.50/x
  3. Step 3: Cross multiply
    5,722.50x = 8,586.99 × 2,644.50
  4. Step 4: Simplify right side
    5,722.50x = 22,708,295.06
  5. Step 5: Solve for x
    x = 22,708,295.06/5,722.50
  6. Step 6: Final answer
    x = 3,968.25

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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.