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Finding the Fourth Proportional to 4,934.32, 6,809.24 and 2,696.20

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Solution

The fourth proportional to 4,934.32, 6,809.24 and 2,696.20 is: 3,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.32 : 6,809.24 = 2,696.20 : x
  2. Step 2: Convert to fraction form
    4,934.32/6,809.24 = 2,696.20/x
  3. Step 3: Cross multiply
    4,934.32x = 6,809.24 × 2,696.20
  4. Step 4: Simplify right side
    4,934.32x = 18,359,062.61
  5. Step 5: Solve for x
    x = 18,359,062.61/4,934.32
  6. Step 6: Final answer
    x = 3,720.69

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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.