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Finding the Fourth Proportional to 5,824.56, 8,736.79 and 3,859.00

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Solution

The fourth proportional to 5,824.56, 8,736.79 and 3,859.00 is: 5,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.56 : 8,736.79 = 3,859.00 : x
  2. Step 2: Convert to fraction form
    5,824.56/8,736.79 = 3,859.00/x
  3. Step 3: Cross multiply
    5,824.56x = 8,736.79 × 3,859.00
  4. Step 4: Simplify right side
    5,824.56x = 33,715,225.22
  5. Step 5: Solve for x
    x = 33,715,225.22/5,824.56
  6. Step 6: Final answer
    x = 5,788.46

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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.