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Finding the Fourth Proportional to 4,650.35, 6,969.20 and 2,567.25

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Solution

The fourth proportional to 4,650.35, 6,969.20 and 2,567.25 is: 3,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.35 : 6,969.20 = 2,567.25 : x
  2. Step 2: Convert to fraction form
    4,650.35/6,969.20 = 2,567.25/x
  3. Step 3: Cross multiply
    4,650.35x = 6,969.20 × 2,567.25
  4. Step 4: Simplify right side
    4,650.35x = 17,891,665.86
  5. Step 5: Solve for x
    x = 17,891,665.86/4,650.35
  6. Step 6: Final answer
    x = 3,847.38

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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.