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Finding the Fourth Proportional to 4,857.03, 7,274.61 and 2,254.50

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Solution

The fourth proportional to 4,857.03, 7,274.61 and 2,254.50 is: 3,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.03 : 7,274.61 = 2,254.50 : x
  2. Step 2: Convert to fraction form
    4,857.03/7,274.61 = 2,254.50/x
  3. Step 3: Cross multiply
    4,857.03x = 7,274.61 × 2,254.50
  4. Step 4: Simplify right side
    4,857.03x = 16,400,608.25
  5. Step 5: Solve for x
    x = 16,400,608.25/4,857.03
  6. Step 6: Final answer
    x = 3,376.67

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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.