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Finding the Fourth Proportional to 3,971.98, 5,958.24 and 1,506.34

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Solution

The fourth proportional to 3,971.98, 5,958.24 and 1,506.34 is: 2,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.98 : 5,958.24 = 1,506.34 : x
  2. Step 2: Convert to fraction form
    3,971.98/5,958.24 = 1,506.34/x
  3. Step 3: Cross multiply
    3,971.98x = 5,958.24 × 1,506.34
  4. Step 4: Simplify right side
    3,971.98x = 8,975,135.24
  5. Step 5: Solve for x
    x = 8,975,135.24/3,971.98
  6. Step 6: Final answer
    x = 2,259.61

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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.