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Finding the Fourth Proportional to 5,966.24, 8,228.24 and 3,869.60

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Solution

The fourth proportional to 5,966.24, 8,228.24 and 3,869.60 is: 5,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.24 : 8,228.24 = 3,869.60 : x
  2. Step 2: Convert to fraction form
    5,966.24/8,228.24 = 3,869.60/x
  3. Step 3: Cross multiply
    5,966.24x = 8,228.24 × 3,869.60
  4. Step 4: Simplify right side
    5,966.24x = 31,839,997.50
  5. Step 5: Solve for x
    x = 31,839,997.50/5,966.24
  6. Step 6: Final answer
    x = 5,336.69

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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.