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Finding the Fourth Proportional to 5,959.30, 8,223.87 and 3,306.76

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Solution

The fourth proportional to 5,959.30, 8,223.87 and 3,306.76 is: 4,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.30 : 8,223.87 = 3,306.76 : x
  2. Step 2: Convert to fraction form
    5,959.30/8,223.87 = 3,306.76/x
  3. Step 3: Cross multiply
    5,959.30x = 8,223.87 × 3,306.76
  4. Step 4: Simplify right side
    5,959.30x = 27,194,364.36
  5. Step 5: Solve for x
    x = 27,194,364.36/5,959.30
  6. Step 6: Final answer
    x = 4,563.35

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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.