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Finding the Fourth Proportional to 3,780.46, 5,663.94 and 3,226.96

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Solution

The fourth proportional to 3,780.46, 5,663.94 and 3,226.96 is: 4,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.46 : 5,663.94 = 3,226.96 : x
  2. Step 2: Convert to fraction form
    3,780.46/5,663.94 = 3,226.96/x
  3. Step 3: Cross multiply
    3,780.46x = 5,663.94 × 3,226.96
  4. Step 4: Simplify right side
    3,780.46x = 18,277,307.82
  5. Step 5: Solve for x
    x = 18,277,307.82/3,780.46
  6. Step 6: Final answer
    x = 4,834.68

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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.