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Finding the Fourth Proportional to 4,137.54, 6,208.63 and 3,214.95

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Solution

The fourth proportional to 4,137.54, 6,208.63 and 3,214.95 is: 4,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.54 : 6,208.63 = 3,214.95 : x
  2. Step 2: Convert to fraction form
    4,137.54/6,208.63 = 3,214.95/x
  3. Step 3: Cross multiply
    4,137.54x = 6,208.63 × 3,214.95
  4. Step 4: Simplify right side
    4,137.54x = 19,960,426.98
  5. Step 5: Solve for x
    x = 19,960,426.98/4,137.54
  6. Step 6: Final answer
    x = 4,824.23

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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.