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Finding the Fourth Proportional to 3,974.68, 5,485.06 and 2,182.16

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Solution

The fourth proportional to 3,974.68, 5,485.06 and 2,182.16 is: 3,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.68 : 5,485.06 = 2,182.16 : x
  2. Step 2: Convert to fraction form
    3,974.68/5,485.06 = 2,182.16/x
  3. Step 3: Cross multiply
    3,974.68x = 5,485.06 × 2,182.16
  4. Step 4: Simplify right side
    3,974.68x = 11,969,278.53
  5. Step 5: Solve for x
    x = 11,969,278.53/3,974.68
  6. Step 6: Final answer
    x = 3,011.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.