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Finding the Fourth Proportional to 3,732.50, 5,601.32 and 1,541.22

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Solution

The fourth proportional to 3,732.50, 5,601.32 and 1,541.22 is: 2,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.50 : 5,601.32 = 1,541.22 : x
  2. Step 2: Convert to fraction form
    3,732.50/5,601.32 = 1,541.22/x
  3. Step 3: Cross multiply
    3,732.50x = 5,601.32 × 1,541.22
  4. Step 4: Simplify right side
    3,732.50x = 8,632,858.70
  5. Step 5: Solve for x
    x = 8,632,858.70/3,732.50
  6. Step 6: Final answer
    x = 2,312.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.