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Finding the Fourth Proportional to 4,453.42, 6,678.17 and 2,114.09

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Solution

The fourth proportional to 4,453.42, 6,678.17 and 2,114.09 is: 3,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.42 : 6,678.17 = 2,114.09 : x
  2. Step 2: Convert to fraction form
    4,453.42/6,678.17 = 2,114.09/x
  3. Step 3: Cross multiply
    4,453.42x = 6,678.17 × 2,114.09
  4. Step 4: Simplify right side
    4,453.42x = 14,118,252.42
  5. Step 5: Solve for x
    x = 14,118,252.42/4,453.42
  6. Step 6: Final answer
    x = 3,170.20

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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.