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Finding the Fourth Proportional to 4,533.66, 6,794.16 and 2,449.17

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Solution

The fourth proportional to 4,533.66, 6,794.16 and 2,449.17 is: 3,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.66 : 6,794.16 = 2,449.17 : x
  2. Step 2: Convert to fraction form
    4,533.66/6,794.16 = 2,449.17/x
  3. Step 3: Cross multiply
    4,533.66x = 6,794.16 × 2,449.17
  4. Step 4: Simplify right side
    4,533.66x = 16,640,052.85
  5. Step 5: Solve for x
    x = 16,640,052.85/4,533.66
  6. Step 6: Final answer
    x = 3,670.34

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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.