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Finding the Fourth Proportional to 4,643.67, 6,408.20 and 2,654.18

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Solution

The fourth proportional to 4,643.67, 6,408.20 and 2,654.18 is: 3,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.67 : 6,408.20 = 2,654.18 : x
  2. Step 2: Convert to fraction form
    4,643.67/6,408.20 = 2,654.18/x
  3. Step 3: Cross multiply
    4,643.67x = 6,408.20 × 2,654.18
  4. Step 4: Simplify right side
    4,643.67x = 17,008,490.87
  5. Step 5: Solve for x
    x = 17,008,490.87/4,643.67
  6. Step 6: Final answer
    x = 3,662.73

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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.