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Finding the Fourth Proportional to 3,874.73, 5,814.54 and 1,409.72

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Solution

The fourth proportional to 3,874.73, 5,814.54 and 1,409.72 is: 2,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.73 : 5,814.54 = 1,409.72 : x
  2. Step 2: Convert to fraction form
    3,874.73/5,814.54 = 1,409.72/x
  3. Step 3: Cross multiply
    3,874.73x = 5,814.54 × 1,409.72
  4. Step 4: Simplify right side
    3,874.73x = 8,196,873.33
  5. Step 5: Solve for x
    x = 8,196,873.33/3,874.73
  6. Step 6: Final answer
    x = 2,115.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.