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Finding the Fourth Proportional to 4,934.57, 6,809.76 and 2,696.47

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Solution

The fourth proportional to 4,934.57, 6,809.76 and 2,696.47 is: 3,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.57 : 6,809.76 = 2,696.47 : x
  2. Step 2: Convert to fraction form
    4,934.57/6,809.76 = 2,696.47/x
  3. Step 3: Cross multiply
    4,934.57x = 6,809.76 × 2,696.47
  4. Step 4: Simplify right side
    4,934.57x = 18,362,296.52
  5. Step 5: Solve for x
    x = 18,362,296.52/4,934.57
  6. Step 6: Final answer
    x = 3,721.16

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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.