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Finding the Fourth Proportional to 3,541.72, 5,313.53 and 3,154.38

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Solution

The fourth proportional to 3,541.72, 5,313.53 and 3,154.38 is: 4,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.72 : 5,313.53 = 3,154.38 : x
  2. Step 2: Convert to fraction form
    3,541.72/5,313.53 = 3,154.38/x
  3. Step 3: Cross multiply
    3,541.72x = 5,313.53 × 3,154.38
  4. Step 4: Simplify right side
    3,541.72x = 16,760,858.31
  5. Step 5: Solve for x
    x = 16,760,858.31/3,541.72
  6. Step 6: Final answer
    x = 4,732.41

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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.