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Finding the Fourth Proportional to 3,704.90, 5,555.46 and 1,238.86

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Solution

The fourth proportional to 3,704.90, 5,555.46 and 1,238.86 is: 1,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.90 : 5,555.46 = 1,238.86 : x
  2. Step 2: Convert to fraction form
    3,704.90/5,555.46 = 1,238.86/x
  3. Step 3: Cross multiply
    3,704.90x = 5,555.46 × 1,238.86
  4. Step 4: Simplify right side
    3,704.90x = 6,882,437.18
  5. Step 5: Solve for x
    x = 6,882,437.18/3,704.90
  6. Step 6: Final answer
    x = 1,857.66

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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.