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Finding the Fourth Proportional to 3,975.34, 5,485.42 and 2,381.63

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Solution

The fourth proportional to 3,975.34, 5,485.42 and 2,381.63 is: 3,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.34 : 5,485.42 = 2,381.63 : x
  2. Step 2: Convert to fraction form
    3,975.34/5,485.42 = 2,381.63/x
  3. Step 3: Cross multiply
    3,975.34x = 5,485.42 × 2,381.63
  4. Step 4: Simplify right side
    3,975.34x = 13,064,231.81
  5. Step 5: Solve for x
    x = 13,064,231.81/3,975.34
  6. Step 6: Final answer
    x = 3,286.32

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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.