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Finding the Fourth Proportional to 5,984.66, 8,964.64 and 3,512.05

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Solution

The fourth proportional to 5,984.66, 8,964.64 and 3,512.05 is: 5,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.66 : 8,964.64 = 3,512.05 : x
  2. Step 2: Convert to fraction form
    5,984.66/8,964.64 = 3,512.05/x
  3. Step 3: Cross multiply
    5,984.66x = 8,964.64 × 3,512.05
  4. Step 4: Simplify right side
    5,984.66x = 31,484,201.53
  5. Step 5: Solve for x
    x = 31,484,201.53/5,984.66
  6. Step 6: Final answer
    x = 5,260.82

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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.