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Finding the Fourth Proportional to 4,567.95, 6,847.79 and 1,644.19

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Solution

The fourth proportional to 4,567.95, 6,847.79 and 1,644.19 is: 2,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.95 : 6,847.79 = 1,644.19 : x
  2. Step 2: Convert to fraction form
    4,567.95/6,847.79 = 1,644.19/x
  3. Step 3: Cross multiply
    4,567.95x = 6,847.79 × 1,644.19
  4. Step 4: Simplify right side
    4,567.95x = 11,259,042.50
  5. Step 5: Solve for x
    x = 11,259,042.50/4,567.95
  6. Step 6: Final answer
    x = 2,464.79

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Why These Related Problems?

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