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Finding the Fourth Proportional to 4,097.72, 6,145.97 and 2,017.16

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Solution

The fourth proportional to 4,097.72, 6,145.97 and 2,017.16 is: 3,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.72 : 6,145.97 = 2,017.16 : x
  2. Step 2: Convert to fraction form
    4,097.72/6,145.97 = 2,017.16/x
  3. Step 3: Cross multiply
    4,097.72x = 6,145.97 × 2,017.16
  4. Step 4: Simplify right side
    4,097.72x = 12,397,364.03
  5. Step 5: Solve for x
    x = 12,397,364.03/4,097.72
  6. Step 6: Final answer
    x = 3,025.43

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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.