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Finding the Fourth Proportional to 4,091.35, 6,137.03 and 2,143.30

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Solution

The fourth proportional to 4,091.35, 6,137.03 and 2,143.30 is: 3,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.35 : 6,137.03 = 2,143.30 : x
  2. Step 2: Convert to fraction form
    4,091.35/6,137.03 = 2,143.30/x
  3. Step 3: Cross multiply
    4,091.35x = 6,137.03 × 2,143.30
  4. Step 4: Simplify right side
    4,091.35x = 13,153,496.40
  5. Step 5: Solve for x
    x = 13,153,496.40/4,091.35
  6. Step 6: Final answer
    x = 3,214.95

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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.