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Finding the Fourth Proportional to 6,329.98, 8,733.59 and 3,641.06

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Solution

The fourth proportional to 6,329.98, 8,733.59 and 3,641.06 is: 5,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.98 : 8,733.59 = 3,641.06 : x
  2. Step 2: Convert to fraction form
    6,329.98/8,733.59 = 3,641.06/x
  3. Step 3: Cross multiply
    6,329.98x = 8,733.59 × 3,641.06
  4. Step 4: Simplify right side
    6,329.98x = 31,799,496.10
  5. Step 5: Solve for x
    x = 31,799,496.10/6,329.98
  6. Step 6: Final answer
    x = 5,023.63

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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.