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Finding the Fourth Proportional to 4,567.75, 6,847.51 and 1,644

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Solution

The fourth proportional to 4,567.75, 6,847.51 and 1,644 is: 2,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.75 : 6,847.51 = 1,644 : x
  2. Step 2: Convert to fraction form
    4,567.75/6,847.51 = 1,644/x
  3. Step 3: Cross multiply
    4,567.75x = 6,847.51 × 1,644
  4. Step 4: Simplify right side
    4,567.75x = 11,257,306.44
  5. Step 5: Solve for x
    x = 11,257,306.44/4,567.75
  6. Step 6: Final answer
    x = 2,464.52

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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.