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Finding the Fourth Proportional to 3,564.56, 5,333.88 and 2,942.48

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Solution

The fourth proportional to 3,564.56, 5,333.88 and 2,942.48 is: 4,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.56 : 5,333.88 = 2,942.48 : x
  2. Step 2: Convert to fraction form
    3,564.56/5,333.88 = 2,942.48/x
  3. Step 3: Cross multiply
    3,564.56x = 5,333.88 × 2,942.48
  4. Step 4: Simplify right side
    3,564.56x = 15,694,835.22
  5. Step 5: Solve for x
    x = 15,694,835.22/3,564.56
  6. Step 6: Final answer
    x = 4,403.02

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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.