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Finding the Fourth Proportional to 3,819.60, 5,729.40 and 2,264.40

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Solution

The fourth proportional to 3,819.60, 5,729.40 and 2,264.40 is: 3,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.60 : 5,729.40 = 2,264.40 : x
  2. Step 2: Convert to fraction form
    3,819.60/5,729.40 = 2,264.40/x
  3. Step 3: Cross multiply
    3,819.60x = 5,729.40 × 2,264.40
  4. Step 4: Simplify right side
    3,819.60x = 12,973,653.36
  5. Step 5: Solve for x
    x = 12,973,653.36/3,819.60
  6. Step 6: Final answer
    x = 3,396.60

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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.