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Finding the Fourth Proportional to 4,934.07, 6,809 and 2,838.19

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Solution

The fourth proportional to 4,934.07, 6,809 and 2,838.19 is: 3,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.07 : 6,809 = 2,838.19 : x
  2. Step 2: Convert to fraction form
    4,934.07/6,809 = 2,838.19/x
  3. Step 3: Cross multiply
    4,934.07x = 6,809 × 2,838.19
  4. Step 4: Simplify right side
    4,934.07x = 19,325,235.71
  5. Step 5: Solve for x
    x = 19,325,235.71/4,934.07
  6. Step 6: Final answer
    x = 3,916.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.