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Finding the Fourth Proportional to 5,761.61, 7,946.78 and 3,969.69

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Solution

The fourth proportional to 5,761.61, 7,946.78 and 3,969.69 is: 5,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.61 : 7,946.78 = 3,969.69 : x
  2. Step 2: Convert to fraction form
    5,761.61/7,946.78 = 3,969.69/x
  3. Step 3: Cross multiply
    5,761.61x = 7,946.78 × 3,969.69
  4. Step 4: Simplify right side
    5,761.61x = 31,546,263.02
  5. Step 5: Solve for x
    x = 31,546,263.02/5,761.61
  6. Step 6: Final answer
    x = 5,475.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.