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Finding the Fourth Proportional to 5,541.50, 8,313.62 and 1,645.89

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Solution

The fourth proportional to 5,541.50, 8,313.62 and 1,645.89 is: 2,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.50 : 8,313.62 = 1,645.89 : x
  2. Step 2: Convert to fraction form
    5,541.50/8,313.62 = 1,645.89/x
  3. Step 3: Cross multiply
    5,541.50x = 8,313.62 × 1,645.89
  4. Step 4: Simplify right side
    5,541.50x = 13,683,295.79
  5. Step 5: Solve for x
    x = 13,683,295.79/5,541.50
  6. Step 6: Final answer
    x = 2,469.24

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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.