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Finding the Fourth Proportional to 3,589.98, 4,954.16 and 2,018.09

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Solution

The fourth proportional to 3,589.98, 4,954.16 and 2,018.09 is: 2,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.98 : 4,954.16 = 2,018.09 : x
  2. Step 2: Convert to fraction form
    3,589.98/4,954.16 = 2,018.09/x
  3. Step 3: Cross multiply
    3,589.98x = 4,954.16 × 2,018.09
  4. Step 4: Simplify right side
    3,589.98x = 9,997,905.89
  5. Step 5: Solve for x
    x = 9,997,905.89/3,589.98
  6. Step 6: Final answer
    x = 2,784.95

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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.