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Finding the Fourth Proportional to 4,463.66, 6,688.45 and 3,626.64

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Solution

The fourth proportional to 4,463.66, 6,688.45 and 3,626.64 is: 5,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.66 : 6,688.45 = 3,626.64 : x
  2. Step 2: Convert to fraction form
    4,463.66/6,688.45 = 3,626.64/x
  3. Step 3: Cross multiply
    4,463.66x = 6,688.45 × 3,626.64
  4. Step 4: Simplify right side
    4,463.66x = 24,256,604.84
  5. Step 5: Solve for x
    x = 24,256,604.84/4,463.66
  6. Step 6: Final answer
    x = 5,434.24

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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.