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Finding the Fourth Proportional to 6,334.20, 8,741.74 and 3,681.44

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Solution

The fourth proportional to 6,334.20, 8,741.74 and 3,681.44 is: 5,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.20 : 8,741.74 = 3,681.44 : x
  2. Step 2: Convert to fraction form
    6,334.20/8,741.74 = 3,681.44/x
  3. Step 3: Cross multiply
    6,334.20x = 8,741.74 × 3,681.44
  4. Step 4: Simplify right side
    6,334.20x = 32,182,191.31
  5. Step 5: Solve for x
    x = 32,182,191.31/6,334.20
  6. Step 6: Final answer
    x = 5,080.70

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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.