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Finding the Fourth Proportional to 5,201.85, 7,178.52 and 2,844

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Solution

The fourth proportional to 5,201.85, 7,178.52 and 2,844 is: 3,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.85 : 7,178.52 = 2,844 : x
  2. Step 2: Convert to fraction form
    5,201.85/7,178.52 = 2,844/x
  3. Step 3: Cross multiply
    5,201.85x = 7,178.52 × 2,844
  4. Step 4: Simplify right side
    5,201.85x = 20,415,710.88
  5. Step 5: Solve for x
    x = 20,415,710.88/5,201.85
  6. Step 6: Final answer
    x = 3,924.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.