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Finding the Fourth Proportional to 4,640.85, 6,404.67 and 3,066.21

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Solution

The fourth proportional to 4,640.85, 6,404.67 and 3,066.21 is: 4,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.85 : 6,404.67 = 3,066.21 : x
  2. Step 2: Convert to fraction form
    4,640.85/6,404.67 = 3,066.21/x
  3. Step 3: Cross multiply
    4,640.85x = 6,404.67 × 3,066.21
  4. Step 4: Simplify right side
    4,640.85x = 19,638,063.20
  5. Step 5: Solve for x
    x = 19,638,063.20/4,640.85
  6. Step 6: Final answer
    x = 4,231.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.