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Finding the Fourth Proportional to 5,290.88, 7,936.64 and 2,211.84

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Solution

The fourth proportional to 5,290.88, 7,936.64 and 2,211.84 is: 3,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.88 : 7,936.64 = 2,211.84 : x
  2. Step 2: Convert to fraction form
    5,290.88/7,936.64 = 2,211.84/x
  3. Step 3: Cross multiply
    5,290.88x = 7,936.64 × 2,211.84
  4. Step 4: Simplify right side
    5,290.88x = 17,554,577.82
  5. Step 5: Solve for x
    x = 17,554,577.82/5,290.88
  6. Step 6: Final answer
    x = 3,317.89

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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.