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Finding the Fourth Proportional to 4,879, 7,322.64 and 1,959.28

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Solution

The fourth proportional to 4,879, 7,322.64 and 1,959.28 is: 2,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879 : 7,322.64 = 1,959.28 : x
  2. Step 2: Convert to fraction form
    4,879/7,322.64 = 1,959.28/x
  3. Step 3: Cross multiply
    4,879x = 7,322.64 × 1,959.28
  4. Step 4: Simplify right side
    4,879x = 14,347,102.10
  5. Step 5: Solve for x
    x = 14,347,102.10/4,879
  6. Step 6: Final answer
    x = 2,940.58

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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.