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Finding the Fourth Proportional to 3,598.50, 5,399.46 and 2,059.50

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Solution

The fourth proportional to 3,598.50, 5,399.46 and 2,059.50 is: 3,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.50 : 5,399.46 = 2,059.50 : x
  2. Step 2: Convert to fraction form
    3,598.50/5,399.46 = 2,059.50/x
  3. Step 3: Cross multiply
    3,598.50x = 5,399.46 × 2,059.50
  4. Step 4: Simplify right side
    3,598.50x = 11,120,187.87
  5. Step 5: Solve for x
    x = 11,120,187.87/3,598.50
  6. Step 6: Final answer
    x = 3,090.23

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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.