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Finding the Fourth Proportional to 4,863.06, 6,713.25 and 3,097.06

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Solution

The fourth proportional to 4,863.06, 6,713.25 and 3,097.06 is: 4,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.06 : 6,713.25 = 3,097.06 : x
  2. Step 2: Convert to fraction form
    4,863.06/6,713.25 = 3,097.06/x
  3. Step 3: Cross multiply
    4,863.06x = 6,713.25 × 3,097.06
  4. Step 4: Simplify right side
    4,863.06x = 20,791,309.65
  5. Step 5: Solve for x
    x = 20,791,309.65/4,863.06
  6. Step 6: Final answer
    x = 4,275.36

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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.