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Finding the Fourth Proportional to 4,922.65, 7,383.87 and 1,224.85

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Solution

The fourth proportional to 4,922.65, 7,383.87 and 1,224.85 is: 1,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.65 : 7,383.87 = 1,224.85 : x
  2. Step 2: Convert to fraction form
    4,922.65/7,383.87 = 1,224.85/x
  3. Step 3: Cross multiply
    4,922.65x = 7,383.87 × 1,224.85
  4. Step 4: Simplify right side
    4,922.65x = 9,044,133.17
  5. Step 5: Solve for x
    x = 9,044,133.17/4,922.65
  6. Step 6: Final answer
    x = 1,837.25

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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.