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Finding the Fourth Proportional to 4,472.70, 6,709.05 and 3,306.30

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Solution

The fourth proportional to 4,472.70, 6,709.05 and 3,306.30 is: 4,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.70 : 6,709.05 = 3,306.30 : x
  2. Step 2: Convert to fraction form
    4,472.70/6,709.05 = 3,306.30/x
  3. Step 3: Cross multiply
    4,472.70x = 6,709.05 × 3,306.30
  4. Step 4: Simplify right side
    4,472.70x = 22,182,132.02
  5. Step 5: Solve for x
    x = 22,182,132.02/4,472.70
  6. Step 6: Final answer
    x = 4,959.45

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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.