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Finding the Fourth Proportional to 5,736.96, 8,607.74 and 2,039.45

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Solution

The fourth proportional to 5,736.96, 8,607.74 and 2,039.45 is: 3,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.96 : 8,607.74 = 2,039.45 : x
  2. Step 2: Convert to fraction form
    5,736.96/8,607.74 = 2,039.45/x
  3. Step 3: Cross multiply
    5,736.96x = 8,607.74 × 2,039.45
  4. Step 4: Simplify right side
    5,736.96x = 17,555,002.11
  5. Step 5: Solve for x
    x = 17,555,002.11/5,736.96
  6. Step 6: Final answer
    x = 3,059.98

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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.