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Finding the Fourth Proportional to 4,292.33, 6,439.86 and 1,829.25

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Solution

The fourth proportional to 4,292.33, 6,439.86 and 1,829.25 is: 2,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.33 : 6,439.86 = 1,829.25 : x
  2. Step 2: Convert to fraction form
    4,292.33/6,439.86 = 1,829.25/x
  3. Step 3: Cross multiply
    4,292.33x = 6,439.86 × 1,829.25
  4. Step 4: Simplify right side
    4,292.33x = 11,780,113.91
  5. Step 5: Solve for x
    x = 11,780,113.91/4,292.33
  6. Step 6: Final answer
    x = 2,744.46

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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.