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Finding the Fourth Proportional to 6,449.66, 8,896.58 and 4,266.80

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Solution

The fourth proportional to 6,449.66, 8,896.58 and 4,266.80 is: 5,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.66 : 8,896.58 = 4,266.80 : x
  2. Step 2: Convert to fraction form
    6,449.66/8,896.58 = 4,266.80/x
  3. Step 3: Cross multiply
    6,449.66x = 8,896.58 × 4,266.80
  4. Step 4: Simplify right side
    6,449.66x = 37,959,927.54
  5. Step 5: Solve for x
    x = 37,959,927.54/6,449.66
  6. Step 6: Final answer
    x = 5,885.57

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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.