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Finding the Fourth Proportional to 4,077.68, 6,115.64 and 1,884.33

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Solution

The fourth proportional to 4,077.68, 6,115.64 and 1,884.33 is: 2,826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.68 : 6,115.64 = 1,884.33 : x
  2. Step 2: Convert to fraction form
    4,077.68/6,115.64 = 1,884.33/x
  3. Step 3: Cross multiply
    4,077.68x = 6,115.64 × 1,884.33
  4. Step 4: Simplify right side
    4,077.68x = 11,523,874.50
  5. Step 5: Solve for x
    x = 11,523,874.50/4,077.68
  6. Step 6: Final answer
    x = 2,826.09

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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.