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Finding the Fourth Proportional to 4,491.88, 6,196.26 and 2,833

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Solution

The fourth proportional to 4,491.88, 6,196.26 and 2,833 is: 3,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.88 : 6,196.26 = 2,833 : x
  2. Step 2: Convert to fraction form
    4,491.88/6,196.26 = 2,833/x
  3. Step 3: Cross multiply
    4,491.88x = 6,196.26 × 2,833
  4. Step 4: Simplify right side
    4,491.88x = 17,554,004.58
  5. Step 5: Solve for x
    x = 17,554,004.58/4,491.88
  6. Step 6: Final answer
    x = 3,907.94

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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.