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Finding the Fourth Proportional to 5,814.54, 8,731.53 and 3,816.54

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Solution

The fourth proportional to 5,814.54, 8,731.53 and 3,816.54 is: 5,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.54 : 8,731.53 = 3,816.54 : x
  2. Step 2: Convert to fraction form
    5,814.54/8,731.53 = 3,816.54/x
  3. Step 3: Cross multiply
    5,814.54x = 8,731.53 × 3,816.54
  4. Step 4: Simplify right side
    5,814.54x = 33,324,233.51
  5. Step 5: Solve for x
    x = 33,324,233.51/5,814.54
  6. Step 6: Final answer
    x = 5,731.19

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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.