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Finding the Fourth Proportional to 4,630.44, 6,943.22 and 3,473.76

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Solution

The fourth proportional to 4,630.44, 6,943.22 and 3,473.76 is: 5,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.44 : 6,943.22 = 3,473.76 : x
  2. Step 2: Convert to fraction form
    4,630.44/6,943.22 = 3,473.76/x
  3. Step 3: Cross multiply
    4,630.44x = 6,943.22 × 3,473.76
  4. Step 4: Simplify right side
    4,630.44x = 24,119,079.91
  5. Step 5: Solve for x
    x = 24,119,079.91/4,630.44
  6. Step 6: Final answer
    x = 5,208.81

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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.