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Finding the Fourth Proportional to 4,606.02, 6,350.63 and 3,896.64

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Solution

The fourth proportional to 4,606.02, 6,350.63 and 3,896.64 is: 5,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.02 : 6,350.63 = 3,896.64 : x
  2. Step 2: Convert to fraction form
    4,606.02/6,350.63 = 3,896.64/x
  3. Step 3: Cross multiply
    4,606.02x = 6,350.63 × 3,896.64
  4. Step 4: Simplify right side
    4,606.02x = 24,746,099.40
  5. Step 5: Solve for x
    x = 24,746,099.40/4,606.02
  6. Step 6: Final answer
    x = 5,372.56

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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.