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Finding the Fourth Proportional to 4,446.47, 6,660.11 and 2,102.94

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Solution

The fourth proportional to 4,446.47, 6,660.11 and 2,102.94 is: 3,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.47 : 6,660.11 = 2,102.94 : x
  2. Step 2: Convert to fraction form
    4,446.47/6,660.11 = 2,102.94/x
  3. Step 3: Cross multiply
    4,446.47x = 6,660.11 × 2,102.94
  4. Step 4: Simplify right side
    4,446.47x = 14,005,801.21
  5. Step 5: Solve for x
    x = 14,005,801.21/4,446.47
  6. Step 6: Final answer
    x = 3,149.87

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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.