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Finding the Fourth Proportional to 4,272.50, 6,408.72 and 1,310.94

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Solution

The fourth proportional to 4,272.50, 6,408.72 and 1,310.94 is: 1,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.50 : 6,408.72 = 1,310.94 : x
  2. Step 2: Convert to fraction form
    4,272.50/6,408.72 = 1,310.94/x
  3. Step 3: Cross multiply
    4,272.50x = 6,408.72 × 1,310.94
  4. Step 4: Simplify right side
    4,272.50x = 8,401,447.40
  5. Step 5: Solve for x
    x = 8,401,447.40/4,272.50
  6. Step 6: Final answer
    x = 1,966.40

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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.