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Finding the Fourth Proportional to 4,541.46, 6,779.78 and 3,843.44

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Solution

The fourth proportional to 4,541.46, 6,779.78 and 3,843.44 is: 5,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.46 : 6,779.78 = 3,843.44 : x
  2. Step 2: Convert to fraction form
    4,541.46/6,779.78 = 3,843.44/x
  3. Step 3: Cross multiply
    4,541.46x = 6,779.78 × 3,843.44
  4. Step 4: Simplify right side
    4,541.46x = 26,057,677.64
  5. Step 5: Solve for x
    x = 26,057,677.64/4,541.46
  6. Step 6: Final answer
    x = 5,737.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.