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Finding the Fourth Proportional to 4,137.72, 6,207.19 and 1,215.65

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Solution

The fourth proportional to 4,137.72, 6,207.19 and 1,215.65 is: 1,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.72 : 6,207.19 = 1,215.65 : x
  2. Step 2: Convert to fraction form
    4,137.72/6,207.19 = 1,215.65/x
  3. Step 3: Cross multiply
    4,137.72x = 6,207.19 × 1,215.65
  4. Step 4: Simplify right side
    4,137.72x = 7,545,770.52
  5. Step 5: Solve for x
    x = 7,545,770.52/4,137.72
  6. Step 6: Final answer
    x = 1,823.65

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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.