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Finding the Fourth Proportional to 6,023.57, 8,315.36 and 4,035.42

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Solution

The fourth proportional to 6,023.57, 8,315.36 and 4,035.42 is: 5,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.57 : 8,315.36 = 4,035.42 : x
  2. Step 2: Convert to fraction form
    6,023.57/8,315.36 = 4,035.42/x
  3. Step 3: Cross multiply
    6,023.57x = 8,315.36 × 4,035.42
  4. Step 4: Simplify right side
    6,023.57x = 33,555,965.01
  5. Step 5: Solve for x
    x = 33,555,965.01/6,023.57
  6. Step 6: Final answer
    x = 5,570.78

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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.