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Finding the Fourth Proportional to 5,824.07, 8,728.24 and 3,187.59

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Solution

The fourth proportional to 5,824.07, 8,728.24 and 3,187.59 is: 4,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.07 : 8,728.24 = 3,187.59 : x
  2. Step 2: Convert to fraction form
    5,824.07/8,728.24 = 3,187.59/x
  3. Step 3: Cross multiply
    5,824.07x = 8,728.24 × 3,187.59
  4. Step 4: Simplify right side
    5,824.07x = 27,822,050.54
  5. Step 5: Solve for x
    x = 27,822,050.54/5,824.07
  6. Step 6: Final answer
    x = 4,777.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.