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Finding the Fourth Proportional to 4,052.67, 6,068.46 and 3,471.40

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Solution

The fourth proportional to 4,052.67, 6,068.46 and 3,471.40 is: 5,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.67 : 6,068.46 = 3,471.40 : x
  2. Step 2: Convert to fraction form
    4,052.67/6,068.46 = 3,471.40/x
  3. Step 3: Cross multiply
    4,052.67x = 6,068.46 × 3,471.40
  4. Step 4: Simplify right side
    4,052.67x = 21,066,052.04
  5. Step 5: Solve for x
    x = 21,066,052.04/4,052.67
  6. Step 6: Final answer
    x = 5,198.07

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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.