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Finding the Fourth Proportional to 2,635.65, 3,629.80 and 2,578.25

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Solution

The fourth proportional to 2,635.65, 3,629.80 and 2,578.25 is: 3,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.65 : 3,629.80 = 2,578.25 : x
  2. Step 2: Convert to fraction form
    2,635.65/3,629.80 = 2,578.25/x
  3. Step 3: Cross multiply
    2,635.65x = 3,629.80 × 2,578.25
  4. Step 4: Simplify right side
    2,635.65x = 9,358,507.26
  5. Step 5: Solve for x
    x = 9,358,507.26/2,635.65
  6. Step 6: Final answer
    x = 3,550.73

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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.