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Finding the Fourth Proportional to 3,843, 5,775.33 and 2,283.30

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Solution

The fourth proportional to 3,843, 5,775.33 and 2,283.30 is: 3,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843 : 5,775.33 = 2,283.30 : x
  2. Step 2: Convert to fraction form
    3,843/5,775.33 = 2,283.30/x
  3. Step 3: Cross multiply
    3,843x = 5,775.33 × 2,283.30
  4. Step 4: Simplify right side
    3,843x = 13,186,810.99
  5. Step 5: Solve for x
    x = 13,186,810.99/3,843
  6. Step 6: Final answer
    x = 3,431.38

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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.