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Finding the Fourth Proportional to 4,736.52, 6,536.16 and 2,640.24

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Solution

The fourth proportional to 4,736.52, 6,536.16 and 2,640.24 is: 3,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.52 : 6,536.16 = 2,640.24 : x
  2. Step 2: Convert to fraction form
    4,736.52/6,536.16 = 2,640.24/x
  3. Step 3: Cross multiply
    4,736.52x = 6,536.16 × 2,640.24
  4. Step 4: Simplify right side
    4,736.52x = 17,257,031.08
  5. Step 5: Solve for x
    x = 17,257,031.08/4,736.52
  6. Step 6: Final answer
    x = 3,643.40

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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.