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Finding the Fourth Proportional to 5,969.22, 8,956.80 and 2,683.50

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Solution

The fourth proportional to 5,969.22, 8,956.80 and 2,683.50 is: 4,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.22 : 8,956.80 = 2,683.50 : x
  2. Step 2: Convert to fraction form
    5,969.22/8,956.80 = 2,683.50/x
  3. Step 3: Cross multiply
    5,969.22x = 8,956.80 × 2,683.50
  4. Step 4: Simplify right side
    5,969.22x = 24,035,572.80
  5. Step 5: Solve for x
    x = 24,035,572.80/5,969.22
  6. Step 6: Final answer
    x = 4,026.59

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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.