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Finding the Fourth Proportional to 5,219.61, 7,822.54 and 4,523.41

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Solution

The fourth proportional to 5,219.61, 7,822.54 and 4,523.41 is: 6,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.61 : 7,822.54 = 4,523.41 : x
  2. Step 2: Convert to fraction form
    5,219.61/7,822.54 = 4,523.41/x
  3. Step 3: Cross multiply
    5,219.61x = 7,822.54 × 4,523.41
  4. Step 4: Simplify right side
    5,219.61x = 35,384,571.09
  5. Step 5: Solve for x
    x = 35,384,571.09/5,219.61
  6. Step 6: Final answer
    x = 6,779.16

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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.