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Finding the Fourth Proportional to 3,622.50, 4,997.16 and 2,130.30

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Solution

The fourth proportional to 3,622.50, 4,997.16 and 2,130.30 is: 2,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.50 : 4,997.16 = 2,130.30 : x
  2. Step 2: Convert to fraction form
    3,622.50/4,997.16 = 2,130.30/x
  3. Step 3: Cross multiply
    3,622.50x = 4,997.16 × 2,130.30
  4. Step 4: Simplify right side
    3,622.50x = 10,645,449.95
  5. Step 5: Solve for x
    x = 10,645,449.95/3,622.50
  6. Step 6: Final answer
    x = 2,938.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.