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Finding the Fourth Proportional to 4,318.30, 6,473.49 and 2,096.67

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Solution

The fourth proportional to 4,318.30, 6,473.49 and 2,096.67 is: 3,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318.30 : 6,473.49 = 2,096.67 : x
  2. Step 2: Convert to fraction form
    4,318.30/6,473.49 = 2,096.67/x
  3. Step 3: Cross multiply
    4,318.30x = 6,473.49 × 2,096.67
  4. Step 4: Simplify right side
    4,318.30x = 13,572,739.91
  5. Step 5: Solve for x
    x = 13,572,739.91/4,318.30
  6. Step 6: Final answer
    x = 3,143.08

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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.