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Finding the Fourth Proportional to 6,096.08, 8,411.24 and 3,971.40

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Solution

The fourth proportional to 6,096.08, 8,411.24 and 3,971.40 is: 5,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.08 : 8,411.24 = 3,971.40 : x
  2. Step 2: Convert to fraction form
    6,096.08/8,411.24 = 3,971.40/x
  3. Step 3: Cross multiply
    6,096.08x = 8,411.24 × 3,971.40
  4. Step 4: Simplify right side
    6,096.08x = 33,404,378.68
  5. Step 5: Solve for x
    x = 33,404,378.68/6,096.08
  6. Step 6: Final answer
    x = 5,479.65

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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.