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Finding the Fourth Proportional to 5,622.93, 8,428.72 and 1,922.64

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Solution

The fourth proportional to 5,622.93, 8,428.72 and 1,922.64 is: 2,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.93 : 8,428.72 = 1,922.64 : x
  2. Step 2: Convert to fraction form
    5,622.93/8,428.72 = 1,922.64/x
  3. Step 3: Cross multiply
    5,622.93x = 8,428.72 × 1,922.64
  4. Step 4: Simplify right side
    5,622.93x = 16,205,394.22
  5. Step 5: Solve for x
    x = 16,205,394.22/5,622.93
  6. Step 6: Final answer
    x = 2,882.02

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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.