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Finding the Fourth Proportional to 4,819, 6,650.38 and 2,955.64

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Solution

The fourth proportional to 4,819, 6,650.38 and 2,955.64 is: 4,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819 : 6,650.38 = 2,955.64 : x
  2. Step 2: Convert to fraction form
    4,819/6,650.38 = 2,955.64/x
  3. Step 3: Cross multiply
    4,819x = 6,650.38 × 2,955.64
  4. Step 4: Simplify right side
    4,819x = 19,656,129.14
  5. Step 5: Solve for x
    x = 19,656,129.14/4,819
  6. Step 6: Final answer
    x = 4,078.88

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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.