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Finding the Fourth Proportional to 4,472.46, 6,697.35 and 3,302.82

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Solution

The fourth proportional to 4,472.46, 6,697.35 and 3,302.82 is: 4,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.46 : 6,697.35 = 3,302.82 : x
  2. Step 2: Convert to fraction form
    4,472.46/6,697.35 = 3,302.82/x
  3. Step 3: Cross multiply
    4,472.46x = 6,697.35 × 3,302.82
  4. Step 4: Simplify right side
    4,472.46x = 22,120,141.53
  5. Step 5: Solve for x
    x = 22,120,141.53/4,472.46
  6. Step 6: Final answer
    x = 4,945.86

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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.