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Finding the Fourth Proportional to 3,873.78, 5,811.93 and 1,682.46

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Solution

The fourth proportional to 3,873.78, 5,811.93 and 1,682.46 is: 2,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.78 : 5,811.93 = 1,682.46 : x
  2. Step 2: Convert to fraction form
    3,873.78/5,811.93 = 1,682.46/x
  3. Step 3: Cross multiply
    3,873.78x = 5,811.93 × 1,682.46
  4. Step 4: Simplify right side
    3,873.78x = 9,778,339.75
  5. Step 5: Solve for x
    x = 9,778,339.75/3,873.78
  6. Step 6: Final answer
    x = 2,524.24

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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.