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Finding the Fourth Proportional to 3,104.65, 4,651.44 and 3,028.06

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Solution

The fourth proportional to 3,104.65, 4,651.44 and 3,028.06 is: 4,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.65 : 4,651.44 = 3,028.06 : x
  2. Step 2: Convert to fraction form
    3,104.65/4,651.44 = 3,028.06/x
  3. Step 3: Cross multiply
    3,104.65x = 4,651.44 × 3,028.06
  4. Step 4: Simplify right side
    3,104.65x = 14,084,839.41
  5. Step 5: Solve for x
    x = 14,084,839.41/3,104.65
  6. Step 6: Final answer
    x = 4,536.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.