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Finding the Fourth Proportional to 4,326.55, 6,481.62 and 2,567.84

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Solution

The fourth proportional to 4,326.55, 6,481.62 and 2,567.84 is: 3,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.55 : 6,481.62 = 2,567.84 : x
  2. Step 2: Convert to fraction form
    4,326.55/6,481.62 = 2,567.84/x
  3. Step 3: Cross multiply
    4,326.55x = 6,481.62 × 2,567.84
  4. Step 4: Simplify right side
    4,326.55x = 16,643,730.69
  5. Step 5: Solve for x
    x = 16,643,730.69/4,326.55
  6. Step 6: Final answer
    x = 3,846.89

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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.