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Finding the Fourth Proportional to 3,589.84, 4,954.28 and 2,018.24

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Solution

The fourth proportional to 3,589.84, 4,954.28 and 2,018.24 is: 2,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.84 : 4,954.28 = 2,018.24 : x
  2. Step 2: Convert to fraction form
    3,589.84/4,954.28 = 2,018.24/x
  3. Step 3: Cross multiply
    3,589.84x = 4,954.28 × 2,018.24
  4. Step 4: Simplify right side
    3,589.84x = 9,998,926.07
  5. Step 5: Solve for x
    x = 9,998,926.07/3,589.84
  6. Step 6: Final answer
    x = 2,785.34

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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.