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Finding the Fourth Proportional to 3,229.47, 4,843.89 and 1,039.77

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Solution

The fourth proportional to 3,229.47, 4,843.89 and 1,039.77 is: 1,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.47 : 4,843.89 = 1,039.77 : x
  2. Step 2: Convert to fraction form
    3,229.47/4,843.89 = 1,039.77/x
  3. Step 3: Cross multiply
    3,229.47x = 4,843.89 × 1,039.77
  4. Step 4: Simplify right side
    3,229.47x = 5,036,531.51
  5. Step 5: Solve for x
    x = 5,036,531.51/3,229.47
  6. Step 6: Final answer
    x = 1,559.55

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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.