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Finding the Fourth Proportional to 6,443, 8,891.34 and 3,499

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Solution

The fourth proportional to 6,443, 8,891.34 and 3,499 is: 4,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443 : 8,891.34 = 3,499 : x
  2. Step 2: Convert to fraction form
    6,443/8,891.34 = 3,499/x
  3. Step 3: Cross multiply
    6,443x = 8,891.34 × 3,499
  4. Step 4: Simplify right side
    6,443x = 31,110,798.66
  5. Step 5: Solve for x
    x = 31,110,798.66/6,443
  6. Step 6: Final answer
    x = 4,828.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.