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Finding the Fourth Proportional to 5,845.25, 8,768.01 and 2,382.50

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Solution

The fourth proportional to 5,845.25, 8,768.01 and 2,382.50 is: 3,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.25 : 8,768.01 = 2,382.50 : x
  2. Step 2: Convert to fraction form
    5,845.25/8,768.01 = 2,382.50/x
  3. Step 3: Cross multiply
    5,845.25x = 8,768.01 × 2,382.50
  4. Step 4: Simplify right side
    5,845.25x = 20,889,783.83
  5. Step 5: Solve for x
    x = 20,889,783.83/5,845.25
  6. Step 6: Final answer
    x = 3,573.81

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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.