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Finding the Fourth Proportional to 6,344.08, 8,754.14 and 3,691.60

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Solution

The fourth proportional to 6,344.08, 8,754.14 and 3,691.60 is: 5,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.08 : 8,754.14 = 3,691.60 : x
  2. Step 2: Convert to fraction form
    6,344.08/8,754.14 = 3,691.60/x
  3. Step 3: Cross multiply
    6,344.08x = 8,754.14 × 3,691.60
  4. Step 4: Simplify right side
    6,344.08x = 32,316,783.22
  5. Step 5: Solve for x
    x = 32,316,783.22/6,344.08
  6. Step 6: Final answer
    x = 5,094.01

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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.