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Finding the Fourth Proportional to 4,634.06, 6,944.34 and 3,518.72

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Solution

The fourth proportional to 4,634.06, 6,944.34 and 3,518.72 is: 5,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.06 : 6,944.34 = 3,518.72 : x
  2. Step 2: Convert to fraction form
    4,634.06/6,944.34 = 3,518.72/x
  3. Step 3: Cross multiply
    4,634.06x = 6,944.34 × 3,518.72
  4. Step 4: Simplify right side
    4,634.06x = 24,435,188.04
  5. Step 5: Solve for x
    x = 24,435,188.04/4,634.06
  6. Step 6: Final answer
    x = 5,272.95

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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.