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Finding the Fourth Proportional to 3,472.24, 4,793.16 and 3,378.64

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Solution

The fourth proportional to 3,472.24, 4,793.16 and 3,378.64 is: 4,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.24 : 4,793.16 = 3,378.64 : x
  2. Step 2: Convert to fraction form
    3,472.24/4,793.16 = 3,378.64/x
  3. Step 3: Cross multiply
    3,472.24x = 4,793.16 × 3,378.64
  4. Step 4: Simplify right side
    3,472.24x = 16,194,362.10
  5. Step 5: Solve for x
    x = 16,194,362.10/3,472.24
  6. Step 6: Final answer
    x = 4,663.95

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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.