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Finding the Fourth Proportional to 3,907.72, 5,388.78 and 3,161.08

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Solution

The fourth proportional to 3,907.72, 5,388.78 and 3,161.08 is: 4,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.72 : 5,388.78 = 3,161.08 : x
  2. Step 2: Convert to fraction form
    3,907.72/5,388.78 = 3,161.08/x
  3. Step 3: Cross multiply
    3,907.72x = 5,388.78 × 3,161.08
  4. Step 4: Simplify right side
    3,907.72x = 17,034,364.68
  5. Step 5: Solve for x
    x = 17,034,364.68/3,907.72
  6. Step 6: Final answer
    x = 4,359.16

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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.