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Finding the Fourth Proportional to 5,907.44, 8,161.08 and 4,771.42

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Solution

The fourth proportional to 5,907.44, 8,161.08 and 4,771.42 is: 6,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.44 : 8,161.08 = 4,771.42 : x
  2. Step 2: Convert to fraction form
    5,907.44/8,161.08 = 4,771.42/x
  3. Step 3: Cross multiply
    5,907.44x = 8,161.08 × 4,771.42
  4. Step 4: Simplify right side
    5,907.44x = 38,939,940.33
  5. Step 5: Solve for x
    x = 38,939,940.33/5,907.44
  6. Step 6: Final answer
    x = 6,591.68

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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.