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Finding the Fourth Proportional to 4,635.92, 6,398.72 and 2,647.63

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Solution

The fourth proportional to 4,635.92, 6,398.72 and 2,647.63 is: 3,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.92 : 6,398.72 = 2,647.63 : x
  2. Step 2: Convert to fraction form
    4,635.92/6,398.72 = 2,647.63/x
  3. Step 3: Cross multiply
    4,635.92x = 6,398.72 × 2,647.63
  4. Step 4: Simplify right side
    4,635.92x = 16,941,458.58
  5. Step 5: Solve for x
    x = 16,941,458.58/4,635.92
  6. Step 6: Final answer
    x = 3,654.39

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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.