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Finding the Fourth Proportional to 4,196.84, 5,788.02 and 2,622.20

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Solution

The fourth proportional to 4,196.84, 5,788.02 and 2,622.20 is: 3,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.84 : 5,788.02 = 2,622.20 : x
  2. Step 2: Convert to fraction form
    4,196.84/5,788.02 = 2,622.20/x
  3. Step 3: Cross multiply
    4,196.84x = 5,788.02 × 2,622.20
  4. Step 4: Simplify right side
    4,196.84x = 15,177,346.04
  5. Step 5: Solve for x
    x = 15,177,346.04/4,196.84
  6. Step 6: Final answer
    x = 3,616.37

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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.