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Finding the Fourth Proportional to 3,872.87, 5,808.26 and 1,681.08

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Solution

The fourth proportional to 3,872.87, 5,808.26 and 1,681.08 is: 2,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.87 : 5,808.26 = 1,681.08 : x
  2. Step 2: Convert to fraction form
    3,872.87/5,808.26 = 1,681.08/x
  3. Step 3: Cross multiply
    3,872.87x = 5,808.26 × 1,681.08
  4. Step 4: Simplify right side
    3,872.87x = 9,764,153.92
  5. Step 5: Solve for x
    x = 9,764,153.92/3,872.87
  6. Step 6: Final answer
    x = 2,521.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.