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Finding the Fourth Proportional to 4,567.70, 6,847.44 and 1,643.96

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Solution

The fourth proportional to 4,567.70, 6,847.44 and 1,643.96 is: 2,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.70 : 6,847.44 = 1,643.96 : x
  2. Step 2: Convert to fraction form
    4,567.70/6,847.44 = 1,643.96/x
  3. Step 3: Cross multiply
    4,567.70x = 6,847.44 × 1,643.96
  4. Step 4: Simplify right side
    4,567.70x = 11,256,883.23
  5. Step 5: Solve for x
    x = 11,256,883.23/4,567.70
  6. Step 6: Final answer
    x = 2,464.46

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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.