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Finding the Fourth Proportional to 5,969.56, 8,956.86 and 3,195.50

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Solution

The fourth proportional to 5,969.56, 8,956.86 and 3,195.50 is: 4,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.56 : 8,956.86 = 3,195.50 : x
  2. Step 2: Convert to fraction form
    5,969.56/8,956.86 = 3,195.50/x
  3. Step 3: Cross multiply
    5,969.56x = 8,956.86 × 3,195.50
  4. Step 4: Simplify right side
    5,969.56x = 28,621,646.13
  5. Step 5: Solve for x
    x = 28,621,646.13/5,969.56
  6. Step 6: Final answer
    x = 4,794.60

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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.