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Finding the Fourth Proportional to 5,509.68, 8,243.54 and 4,846.28

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Solution

The fourth proportional to 5,509.68, 8,243.54 and 4,846.28 is: 7,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.68 : 8,243.54 = 4,846.28 : x
  2. Step 2: Convert to fraction form
    5,509.68/8,243.54 = 4,846.28/x
  3. Step 3: Cross multiply
    5,509.68x = 8,243.54 × 4,846.28
  4. Step 4: Simplify right side
    5,509.68x = 39,950,503.03
  5. Step 5: Solve for x
    x = 39,950,503.03/5,509.68
  6. Step 6: Final answer
    x = 7,250.97

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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.