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Finding the Fourth Proportional to 4,614.78, 6,366.23 and 2,725.08

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Solution

The fourth proportional to 4,614.78, 6,366.23 and 2,725.08 is: 3,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.78 : 6,366.23 = 2,725.08 : x
  2. Step 2: Convert to fraction form
    4,614.78/6,366.23 = 2,725.08/x
  3. Step 3: Cross multiply
    4,614.78x = 6,366.23 × 2,725.08
  4. Step 4: Simplify right side
    4,614.78x = 17,348,454.22
  5. Step 5: Solve for x
    x = 17,348,454.22/4,614.78
  6. Step 6: Final answer
    x = 3,759.32

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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.