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Finding the Fourth Proportional to 5,646, 7,791.48 and 3,288

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Solution

The fourth proportional to 5,646, 7,791.48 and 3,288 is: 4,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646 : 7,791.48 = 3,288 : x
  2. Step 2: Convert to fraction form
    5,646/7,791.48 = 3,288/x
  3. Step 3: Cross multiply
    5,646x = 7,791.48 × 3,288
  4. Step 4: Simplify right side
    5,646x = 25,618,386.24
  5. Step 5: Solve for x
    x = 25,618,386.24/5,646
  6. Step 6: Final answer
    x = 4,537.44

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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.