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Finding the Fourth Proportional to 3,883.80, 5,819.30 and 3,307.80

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Solution

The fourth proportional to 3,883.80, 5,819.30 and 3,307.80 is: 4,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.80 : 5,819.30 = 3,307.80 : x
  2. Step 2: Convert to fraction form
    3,883.80/5,819.30 = 3,307.80/x
  3. Step 3: Cross multiply
    3,883.80x = 5,819.30 × 3,307.80
  4. Step 4: Simplify right side
    3,883.80x = 19,249,080.54
  5. Step 5: Solve for x
    x = 19,249,080.54/3,883.80
  6. Step 6: Final answer
    x = 4,956.25

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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.