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Finding the Fourth Proportional to 3,615.58, 5,422.09 and 1,333

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Solution

The fourth proportional to 3,615.58, 5,422.09 and 1,333 is: 1,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.58 : 5,422.09 = 1,333 : x
  2. Step 2: Convert to fraction form
    3,615.58/5,422.09 = 1,333/x
  3. Step 3: Cross multiply
    3,615.58x = 5,422.09 × 1,333
  4. Step 4: Simplify right side
    3,615.58x = 7,227,645.97
  5. Step 5: Solve for x
    x = 7,227,645.97/3,615.58
  6. Step 6: Final answer
    x = 1,999.03

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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.