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Finding the Fourth Proportional to 3,703.88, 5,555.16 and 1,238.44

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Solution

The fourth proportional to 3,703.88, 5,555.16 and 1,238.44 is: 1,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.88 : 5,555.16 = 1,238.44 : x
  2. Step 2: Convert to fraction form
    3,703.88/5,555.16 = 1,238.44/x
  3. Step 3: Cross multiply
    3,703.88x = 5,555.16 × 1,238.44
  4. Step 4: Simplify right side
    3,703.88x = 6,879,732.35
  5. Step 5: Solve for x
    x = 6,879,732.35/3,703.88
  6. Step 6: Final answer
    x = 1,857.44

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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.