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Finding the Fourth Proportional to 3,616.84, 5,422.83 and 1,886.68

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Solution

The fourth proportional to 3,616.84, 5,422.83 and 1,886.68 is: 2,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.84 : 5,422.83 = 1,886.68 : x
  2. Step 2: Convert to fraction form
    3,616.84/5,422.83 = 1,886.68/x
  3. Step 3: Cross multiply
    3,616.84x = 5,422.83 × 1,886.68
  4. Step 4: Simplify right side
    3,616.84x = 10,231,144.90
  5. Step 5: Solve for x
    x = 10,231,144.90/3,616.84
  6. Step 6: Final answer
    x = 2,828.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.