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Finding the Fourth Proportional to 4,107.96, 6,162.54 and 2,160.30

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Solution

The fourth proportional to 4,107.96, 6,162.54 and 2,160.30 is: 3,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.96 : 6,162.54 = 2,160.30 : x
  2. Step 2: Convert to fraction form
    4,107.96/6,162.54 = 2,160.30/x
  3. Step 3: Cross multiply
    4,107.96x = 6,162.54 × 2,160.30
  4. Step 4: Simplify right side
    4,107.96x = 13,312,935.16
  5. Step 5: Solve for x
    x = 13,312,935.16/4,107.96
  6. Step 6: Final answer
    x = 3,240.77

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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.