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Finding the Fourth Proportional to 5,959.27, 8,221.89 and 3,970.18

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Solution

The fourth proportional to 5,959.27, 8,221.89 and 3,970.18 is: 5,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.27 : 8,221.89 = 3,970.18 : x
  2. Step 2: Convert to fraction form
    5,959.27/8,221.89 = 3,970.18/x
  3. Step 3: Cross multiply
    5,959.27x = 8,221.89 × 3,970.18
  4. Step 4: Simplify right side
    5,959.27x = 32,642,383.24
  5. Step 5: Solve for x
    x = 32,642,383.24/5,959.27
  6. Step 6: Final answer
    x = 5,477.58

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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.