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Finding the Fourth Proportional to 3,793.50, 5,688.18 and 2,040.60

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Solution

The fourth proportional to 3,793.50, 5,688.18 and 2,040.60 is: 3,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.50 : 5,688.18 = 2,040.60 : x
  2. Step 2: Convert to fraction form
    3,793.50/5,688.18 = 2,040.60/x
  3. Step 3: Cross multiply
    3,793.50x = 5,688.18 × 2,040.60
  4. Step 4: Simplify right side
    3,793.50x = 11,607,300.11
  5. Step 5: Solve for x
    x = 11,607,300.11/3,793.50
  6. Step 6: Final answer
    x = 3,059.79

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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.