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Finding the Fourth Proportional to 4,472.38, 6,705.04 and 2,825.45

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Solution

The fourth proportional to 4,472.38, 6,705.04 and 2,825.45 is: 4,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.38 : 6,705.04 = 2,825.45 : x
  2. Step 2: Convert to fraction form
    4,472.38/6,705.04 = 2,825.45/x
  3. Step 3: Cross multiply
    4,472.38x = 6,705.04 × 2,825.45
  4. Step 4: Simplify right side
    4,472.38x = 18,944,755.27
  5. Step 5: Solve for x
    x = 18,944,755.27/4,472.38
  6. Step 6: Final answer
    x = 4,235.94

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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.