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Finding the Fourth Proportional to 4,213.60, 6,311.28 and 2,748.30

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Solution

The fourth proportional to 4,213.60, 6,311.28 and 2,748.30 is: 4,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.60 : 6,311.28 = 2,748.30 : x
  2. Step 2: Convert to fraction form
    4,213.60/6,311.28 = 2,748.30/x
  3. Step 3: Cross multiply
    4,213.60x = 6,311.28 × 2,748.30
  4. Step 4: Simplify right side
    4,213.60x = 17,345,290.82
  5. Step 5: Solve for x
    x = 17,345,290.82/4,213.60
  6. Step 6: Final answer
    x = 4,116.50

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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.