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Finding the Fourth Proportional to 6,344.18, 8,755.43 and 3,655.83

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Solution

The fourth proportional to 6,344.18, 8,755.43 and 3,655.83 is: 5,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.18 : 8,755.43 = 3,655.83 : x
  2. Step 2: Convert to fraction form
    6,344.18/8,755.43 = 3,655.83/x
  3. Step 3: Cross multiply
    6,344.18x = 8,755.43 × 3,655.83
  4. Step 4: Simplify right side
    6,344.18x = 32,008,345.38
  5. Step 5: Solve for x
    x = 32,008,345.38/6,344.18
  6. Step 6: Final answer
    x = 5,045.31

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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.