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Finding the Fourth Proportional to 4,960.78, 6,844.60 and 2,969.93

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Solution

The fourth proportional to 4,960.78, 6,844.60 and 2,969.93 is: 4,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.78 : 6,844.60 = 2,969.93 : x
  2. Step 2: Convert to fraction form
    4,960.78/6,844.60 = 2,969.93/x
  3. Step 3: Cross multiply
    4,960.78x = 6,844.60 × 2,969.93
  4. Step 4: Simplify right side
    4,960.78x = 20,327,974.83
  5. Step 5: Solve for x
    x = 20,327,974.83/4,960.78
  6. Step 6: Final answer
    x = 4,097.74

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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.