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Finding the Fourth Proportional to 4,617.90, 6,372.42 and 2,849.64

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Solution

The fourth proportional to 4,617.90, 6,372.42 and 2,849.64 is: 3,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.90 : 6,372.42 = 2,849.64 : x
  2. Step 2: Convert to fraction form
    4,617.90/6,372.42 = 2,849.64/x
  3. Step 3: Cross multiply
    4,617.90x = 6,372.42 × 2,849.64
  4. Step 4: Simplify right side
    4,617.90x = 18,159,102.93
  5. Step 5: Solve for x
    x = 18,159,102.93/4,617.90
  6. Step 6: Final answer
    x = 3,932.33

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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.