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Finding the Fourth Proportional to 4,736.02, 6,535.74 and 2,640.28

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Solution

The fourth proportional to 4,736.02, 6,535.74 and 2,640.28 is: 3,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.02 : 6,535.74 = 2,640.28 : x
  2. Step 2: Convert to fraction form
    4,736.02/6,535.74 = 2,640.28/x
  3. Step 3: Cross multiply
    4,736.02x = 6,535.74 × 2,640.28
  4. Step 4: Simplify right side
    4,736.02x = 17,256,183.61
  5. Step 5: Solve for x
    x = 17,256,183.61/4,736.02
  6. Step 6: Final answer
    x = 3,643.60

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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.