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Finding the Fourth Proportional to 4,202.30, 6,291.30 and 3,764.90

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Solution

The fourth proportional to 4,202.30, 6,291.30 and 3,764.90 is: 5,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.30 : 6,291.30 = 3,764.90 : x
  2. Step 2: Convert to fraction form
    4,202.30/6,291.30 = 3,764.90/x
  3. Step 3: Cross multiply
    4,202.30x = 6,291.30 × 3,764.90
  4. Step 4: Simplify right side
    4,202.30x = 23,686,115.37
  5. Step 5: Solve for x
    x = 23,686,115.37/4,202.30
  6. Step 6: Final answer
    x = 5,636.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.