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Finding the Fourth Proportional to 3,884.83, 5,827.24 and 1,419.63

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Solution

The fourth proportional to 3,884.83, 5,827.24 and 1,419.63 is: 2,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.83 : 5,827.24 = 1,419.63 : x
  2. Step 2: Convert to fraction form
    3,884.83/5,827.24 = 1,419.63/x
  3. Step 3: Cross multiply
    3,884.83x = 5,827.24 × 1,419.63
  4. Step 4: Simplify right side
    3,884.83x = 8,272,504.64
  5. Step 5: Solve for x
    x = 8,272,504.64/3,884.83
  6. Step 6: Final answer
    x = 2,129.44

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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.