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Finding the Fourth Proportional to 3,908.42, 5,862.61 and 3,680.16

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Solution

The fourth proportional to 3,908.42, 5,862.61 and 3,680.16 is: 5,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.42 : 5,862.61 = 3,680.16 : x
  2. Step 2: Convert to fraction form
    3,908.42/5,862.61 = 3,680.16/x
  3. Step 3: Cross multiply
    3,908.42x = 5,862.61 × 3,680.16
  4. Step 4: Simplify right side
    3,908.42x = 21,575,342.82
  5. Step 5: Solve for x
    x = 21,575,342.82/3,908.42
  6. Step 6: Final answer
    x = 5,520.22

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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.