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Finding the Fourth Proportional to 3,035.98, 4,553.11 and 844.21

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Solution

The fourth proportional to 3,035.98, 4,553.11 and 844.21 is: 1,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.98 : 4,553.11 = 844.21 : x
  2. Step 2: Convert to fraction form
    3,035.98/4,553.11 = 844.21/x
  3. Step 3: Cross multiply
    3,035.98x = 4,553.11 × 844.21
  4. Step 4: Simplify right side
    3,035.98x = 3,843,780.99
  5. Step 5: Solve for x
    x = 3,843,780.99/3,035.98
  6. Step 6: Final answer
    x = 1,266.08

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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.