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Finding the Fourth Proportional to 6,881.64, 10,325.94 and 3,179.70

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Solution

The fourth proportional to 6,881.64, 10,325.94 and 3,179.70 is: 4,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.64 : 10,325.94 = 3,179.70 : x
  2. Step 2: Convert to fraction form
    6,881.64/10,325.94 = 3,179.70/x
  3. Step 3: Cross multiply
    6,881.64x = 10,325.94 × 3,179.70
  4. Step 4: Simplify right side
    6,881.64x = 32,833,391.42
  5. Step 5: Solve for x
    x = 32,833,391.42/6,881.64
  6. Step 6: Final answer
    x = 4,771.16

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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.