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Finding the Fourth Proportional to 3,035.86, 4,553.95 and 844.58

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Solution

The fourth proportional to 3,035.86, 4,553.95 and 844.58 is: 1,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.86 : 4,553.95 = 844.58 : x
  2. Step 2: Convert to fraction form
    3,035.86/4,553.95 = 844.58/x
  3. Step 3: Cross multiply
    3,035.86x = 4,553.95 × 844.58
  4. Step 4: Simplify right side
    3,035.86x = 3,846,175.09
  5. Step 5: Solve for x
    x = 3,846,175.09/3,035.86
  6. Step 6: Final answer
    x = 1,266.91

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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.