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Finding the Fourth Proportional to 4,945.54, 6,823.83 and 2,849.26

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Solution

The fourth proportional to 4,945.54, 6,823.83 and 2,849.26 is: 3,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.54 : 6,823.83 = 2,849.26 : x
  2. Step 2: Convert to fraction form
    4,945.54/6,823.83 = 2,849.26/x
  3. Step 3: Cross multiply
    4,945.54x = 6,823.83 × 2,849.26
  4. Step 4: Simplify right side
    4,945.54x = 19,442,865.87
  5. Step 5: Solve for x
    x = 19,442,865.87/4,945.54
  6. Step 6: Final answer
    x = 3,931.39

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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.