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Finding the Fourth Proportional to 5,164.88, 7,744.23 and 2,045.33

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Solution

The fourth proportional to 5,164.88, 7,744.23 and 2,045.33 is: 3,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.88 : 7,744.23 = 2,045.33 : x
  2. Step 2: Convert to fraction form
    5,164.88/7,744.23 = 2,045.33/x
  3. Step 3: Cross multiply
    5,164.88x = 7,744.23 × 2,045.33
  4. Step 4: Simplify right side
    5,164.88x = 15,839,505.95
  5. Step 5: Solve for x
    x = 15,839,505.95/5,164.88
  6. Step 6: Final answer
    x = 3,066.77

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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.