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Finding the Fourth Proportional to 3,556.06, 5,334.36 and 959.02

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Solution

The fourth proportional to 3,556.06, 5,334.36 and 959.02 is: 1,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.06 : 5,334.36 = 959.02 : x
  2. Step 2: Convert to fraction form
    3,556.06/5,334.36 = 959.02/x
  3. Step 3: Cross multiply
    3,556.06x = 5,334.36 × 959.02
  4. Step 4: Simplify right side
    3,556.06x = 5,115,757.93
  5. Step 5: Solve for x
    x = 5,115,757.93/3,556.06
  6. Step 6: Final answer
    x = 1,438.60

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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.