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Finding the Fourth Proportional to 4,137.52, 6,206.27 and 1,215.82

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Solution

The fourth proportional to 4,137.52, 6,206.27 and 1,215.82 is: 1,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.52 : 6,206.27 = 1,215.82 : x
  2. Step 2: Convert to fraction form
    4,137.52/6,206.27 = 1,215.82/x
  3. Step 3: Cross multiply
    4,137.52x = 6,206.27 × 1,215.82
  4. Step 4: Simplify right side
    4,137.52x = 7,545,707.19
  5. Step 5: Solve for x
    x = 7,545,707.19/4,137.52
  6. Step 6: Final answer
    x = 1,823.73

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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.