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Finding the Fourth Proportional to 4,934.50, 6,809.47 and 2,696.38

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Solution

The fourth proportional to 4,934.50, 6,809.47 and 2,696.38 is: 3,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.50 : 6,809.47 = 2,696.38 : x
  2. Step 2: Convert to fraction form
    4,934.50/6,809.47 = 2,696.38/x
  3. Step 3: Cross multiply
    4,934.50x = 6,809.47 × 2,696.38
  4. Step 4: Simplify right side
    4,934.50x = 18,360,918.72
  5. Step 5: Solve for x
    x = 18,360,918.72/4,934.50
  6. Step 6: Final answer
    x = 3,720.93

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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.