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Finding the Fourth Proportional to 4,932.09, 6,804 and 2,835

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Solution

The fourth proportional to 4,932.09, 6,804 and 2,835 is: 3,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.09 : 6,804 = 2,835 : x
  2. Step 2: Convert to fraction form
    4,932.09/6,804 = 2,835/x
  3. Step 3: Cross multiply
    4,932.09x = 6,804 × 2,835
  4. Step 4: Simplify right side
    4,932.09x = 19,289,340
  5. Step 5: Solve for x
    x = 19,289,340/4,932.09
  6. Step 6: Final answer
    x = 3,910.99

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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.