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Finding the Fourth Proportional to 4,732.72, 7,100.10 and 1,446.07

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Solution

The fourth proportional to 4,732.72, 7,100.10 and 1,446.07 is: 2,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.72 : 7,100.10 = 1,446.07 : x
  2. Step 2: Convert to fraction form
    4,732.72/7,100.10 = 1,446.07/x
  3. Step 3: Cross multiply
    4,732.72x = 7,100.10 × 1,446.07
  4. Step 4: Simplify right side
    4,732.72x = 10,267,241.61
  5. Step 5: Solve for x
    x = 10,267,241.61/4,732.72
  6. Step 6: Final answer
    x = 2,169.42

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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.