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Finding the Fourth Proportional to 4,858.38, 6,703.83 and 2,762.46

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Solution

The fourth proportional to 4,858.38, 6,703.83 and 2,762.46 is: 3,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.38 : 6,703.83 = 2,762.46 : x
  2. Step 2: Convert to fraction form
    4,858.38/6,703.83 = 2,762.46/x
  3. Step 3: Cross multiply
    4,858.38x = 6,703.83 × 2,762.46
  4. Step 4: Simplify right side
    4,858.38x = 18,519,062.22
  5. Step 5: Solve for x
    x = 18,519,062.22/4,858.38
  6. Step 6: Final answer
    x = 3,811.78

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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.