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Finding the Fourth Proportional to 6,449.06, 8,899.53 and 3,796.63

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Solution

The fourth proportional to 6,449.06, 8,899.53 and 3,796.63 is: 5,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.06 : 8,899.53 = 3,796.63 : x
  2. Step 2: Convert to fraction form
    6,449.06/8,899.53 = 3,796.63/x
  3. Step 3: Cross multiply
    6,449.06x = 8,899.53 × 3,796.63
  4. Step 4: Simplify right side
    6,449.06x = 33,788,222.58
  5. Step 5: Solve for x
    x = 33,788,222.58/6,449.06
  6. Step 6: Final answer
    x = 5,239.25

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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.