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Finding the Fourth Proportional to 6,351.96, 8,765.74 and 3,701.20

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Solution

The fourth proportional to 6,351.96, 8,765.74 and 3,701.20 is: 5,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.96 : 8,765.74 = 3,701.20 : x
  2. Step 2: Convert to fraction form
    6,351.96/8,765.74 = 3,701.20/x
  3. Step 3: Cross multiply
    6,351.96x = 8,765.74 × 3,701.20
  4. Step 4: Simplify right side
    6,351.96x = 32,443,756.89
  5. Step 5: Solve for x
    x = 32,443,756.89/6,351.96
  6. Step 6: Final answer
    x = 5,107.68

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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.