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Finding the Fourth Proportional to 4,965.89, 7,444.89 and 3,401.15

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Solution

The fourth proportional to 4,965.89, 7,444.89 and 3,401.15 is: 5,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.89 : 7,444.89 = 3,401.15 : x
  2. Step 2: Convert to fraction form
    4,965.89/7,444.89 = 3,401.15/x
  3. Step 3: Cross multiply
    4,965.89x = 7,444.89 × 3,401.15
  4. Step 4: Simplify right side
    4,965.89x = 25,321,150.40
  5. Step 5: Solve for x
    x = 25,321,150.40/4,965.89
  6. Step 6: Final answer
    x = 5,099.02

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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.