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Finding the Fourth Proportional to 4,474.24, 6,174 and 2,612.32

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Solution

The fourth proportional to 4,474.24, 6,174 and 2,612.32 is: 3,604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.24 : 6,174 = 2,612.32 : x
  2. Step 2: Convert to fraction form
    4,474.24/6,174 = 2,612.32/x
  3. Step 3: Cross multiply
    4,474.24x = 6,174 × 2,612.32
  4. Step 4: Simplify right side
    4,474.24x = 16,128,463.68
  5. Step 5: Solve for x
    x = 16,128,463.68/4,474.24
  6. Step 6: Final answer
    x = 3,604.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.