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Finding the Fourth Proportional to 4,856.50, 7,274.08 and 4,014.03

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Solution

The fourth proportional to 4,856.50, 7,274.08 and 4,014.03 is: 6,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.50 : 7,274.08 = 4,014.03 : x
  2. Step 2: Convert to fraction form
    4,856.50/7,274.08 = 4,014.03/x
  3. Step 3: Cross multiply
    4,856.50x = 7,274.08 × 4,014.03
  4. Step 4: Simplify right side
    4,856.50x = 29,198,375.34
  5. Step 5: Solve for x
    x = 29,198,375.34/4,856.50
  6. Step 6: Final answer
    x = 6,012.23

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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.