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Finding the Fourth Proportional to 4,635.87, 6,398.10 and 2,647.14

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Solution

The fourth proportional to 4,635.87, 6,398.10 and 2,647.14 is: 3,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.87 : 6,398.10 = 2,647.14 : x
  2. Step 2: Convert to fraction form
    4,635.87/6,398.10 = 2,647.14/x
  3. Step 3: Cross multiply
    4,635.87x = 6,398.10 × 2,647.14
  4. Step 4: Simplify right side
    4,635.87x = 16,936,666.43
  5. Step 5: Solve for x
    x = 16,936,666.43/4,635.87
  6. Step 6: Final answer
    x = 3,653.40

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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.