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Finding the Fourth Proportional to 3,883.54, 5,824.19 and 1,907.95

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Solution

The fourth proportional to 3,883.54, 5,824.19 and 1,907.95 is: 2,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.54 : 5,824.19 = 1,907.95 : x
  2. Step 2: Convert to fraction form
    3,883.54/5,824.19 = 1,907.95/x
  3. Step 3: Cross multiply
    3,883.54x = 5,824.19 × 1,907.95
  4. Step 4: Simplify right side
    3,883.54x = 11,112,253.52
  5. Step 5: Solve for x
    x = 11,112,253.52/3,883.54
  6. Step 6: Final answer
    x = 2,861.37

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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.