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Finding the Fourth Proportional to 4,190.70, 5,785.11 and 3,200.07

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Solution

The fourth proportional to 4,190.70, 5,785.11 and 3,200.07 is: 4,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.70 : 5,785.11 = 3,200.07 : x
  2. Step 2: Convert to fraction form
    4,190.70/5,785.11 = 3,200.07/x
  3. Step 3: Cross multiply
    4,190.70x = 5,785.11 × 3,200.07
  4. Step 4: Simplify right side
    4,190.70x = 18,512,756.96
  5. Step 5: Solve for x
    x = 18,512,756.96/4,190.70
  6. Step 6: Final answer
    x = 4,417.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.