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Finding the Fourth Proportional to 6,401.76, 9,599.36 and 2,936

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Solution

The fourth proportional to 6,401.76, 9,599.36 and 2,936 is: 4,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.76 : 9,599.36 = 2,936 : x
  2. Step 2: Convert to fraction form
    6,401.76/9,599.36 = 2,936/x
  3. Step 3: Cross multiply
    6,401.76x = 9,599.36 × 2,936
  4. Step 4: Simplify right side
    6,401.76x = 28,183,720.96
  5. Step 5: Solve for x
    x = 28,183,720.96/6,401.76
  6. Step 6: Final answer
    x = 4,402.50

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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.