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Finding the Fourth Proportional to 3,678.68, 5,516.04 and 1,337.78

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Solution

The fourth proportional to 3,678.68, 5,516.04 and 1,337.78 is: 2,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.68 : 5,516.04 = 1,337.78 : x
  2. Step 2: Convert to fraction form
    3,678.68/5,516.04 = 1,337.78/x
  3. Step 3: Cross multiply
    3,678.68x = 5,516.04 × 1,337.78
  4. Step 4: Simplify right side
    3,678.68x = 7,379,247.99
  5. Step 5: Solve for x
    x = 7,379,247.99/3,678.68
  6. Step 6: Final answer
    x = 2,005.95

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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.