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Finding the Fourth Proportional to 4,296.97, 6,439.38 and 1,829.31

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Solution

The fourth proportional to 4,296.97, 6,439.38 and 1,829.31 is: 2,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.97 : 6,439.38 = 1,829.31 : x
  2. Step 2: Convert to fraction form
    4,296.97/6,439.38 = 1,829.31/x
  3. Step 3: Cross multiply
    4,296.97x = 6,439.38 × 1,829.31
  4. Step 4: Simplify right side
    4,296.97x = 11,779,591.22
  5. Step 5: Solve for x
    x = 11,779,591.22/4,296.97
  6. Step 6: Final answer
    x = 2,741.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.