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Finding the Fourth Proportional to 4,736.64, 6,536.64 and 2,640.72

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Solution

The fourth proportional to 4,736.64, 6,536.64 and 2,640.72 is: 3,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.64 : 6,536.64 = 2,640.72 : x
  2. Step 2: Convert to fraction form
    4,736.64/6,536.64 = 2,640.72/x
  3. Step 3: Cross multiply
    4,736.64x = 6,536.64 × 2,640.72
  4. Step 4: Simplify right side
    4,736.64x = 17,261,435.98
  5. Step 5: Solve for x
    x = 17,261,435.98/4,736.64
  6. Step 6: Final answer
    x = 3,644.24

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Why These Related Problems?

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