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Finding the Fourth Proportional to 5,733.54, 7,907.78 and 3,844.52

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Solution

The fourth proportional to 5,733.54, 7,907.78 and 3,844.52 is: 5,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.54 : 7,907.78 = 3,844.52 : x
  2. Step 2: Convert to fraction form
    5,733.54/7,907.78 = 3,844.52/x
  3. Step 3: Cross multiply
    5,733.54x = 7,907.78 × 3,844.52
  4. Step 4: Simplify right side
    5,733.54x = 30,401,618.37
  5. Step 5: Solve for x
    x = 30,401,618.37/5,733.54
  6. Step 6: Final answer
    x = 5,302.42

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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.