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Finding the Fourth Proportional to 4,825.63, 6,659.36 and 2,617.63

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Solution

The fourth proportional to 4,825.63, 6,659.36 and 2,617.63 is: 3,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.63 : 6,659.36 = 2,617.63 : x
  2. Step 2: Convert to fraction form
    4,825.63/6,659.36 = 2,617.63/x
  3. Step 3: Cross multiply
    4,825.63x = 6,659.36 × 2,617.63
  4. Step 4: Simplify right side
    4,825.63x = 17,431,740.52
  5. Step 5: Solve for x
    x = 17,431,740.52/4,825.63
  6. Step 6: Final answer
    x = 3,612.32

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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.