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Finding the Fourth Proportional to 5,304.21, 7,956.21 and 1,408.50

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Solution

The fourth proportional to 5,304.21, 7,956.21 and 1,408.50 is: 2,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.21 : 7,956.21 = 1,408.50 : x
  2. Step 2: Convert to fraction form
    5,304.21/7,956.21 = 1,408.50/x
  3. Step 3: Cross multiply
    5,304.21x = 7,956.21 × 1,408.50
  4. Step 4: Simplify right side
    5,304.21x = 11,206,321.79
  5. Step 5: Solve for x
    x = 11,206,321.79/5,304.21
  6. Step 6: Final answer
    x = 2,112.72

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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.