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Finding the Fourth Proportional to 4,906.02, 7,360.17 and 2,133.50

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Solution

The fourth proportional to 4,906.02, 7,360.17 and 2,133.50 is: 3,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.02 : 7,360.17 = 2,133.50 : x
  2. Step 2: Convert to fraction form
    4,906.02/7,360.17 = 2,133.50/x
  3. Step 3: Cross multiply
    4,906.02x = 7,360.17 × 2,133.50
  4. Step 4: Simplify right side
    4,906.02x = 15,702,922.70
  5. Step 5: Solve for x
    x = 15,702,922.70/4,906.02
  6. Step 6: Final answer
    x = 3,200.75

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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.