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Finding the Fourth Proportional to 3,097.92, 4,271.36 and 3,032.96

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Solution

The fourth proportional to 3,097.92, 4,271.36 and 3,032.96 is: 4,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.92 : 4,271.36 = 3,032.96 : x
  2. Step 2: Convert to fraction form
    3,097.92/4,271.36 = 3,032.96/x
  3. Step 3: Cross multiply
    3,097.92x = 4,271.36 × 3,032.96
  4. Step 4: Simplify right side
    3,097.92x = 12,954,864.03
  5. Step 5: Solve for x
    x = 12,954,864.03/3,097.92
  6. Step 6: Final answer
    x = 4,181.79

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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.