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Finding the Fourth Proportional to 5,731.26, 8,557.67 and 5,134.43

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Solution

The fourth proportional to 5,731.26, 8,557.67 and 5,134.43 is: 7,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.26 : 8,557.67 = 5,134.43 : x
  2. Step 2: Convert to fraction form
    5,731.26/8,557.67 = 5,134.43/x
  3. Step 3: Cross multiply
    5,731.26x = 8,557.67 × 5,134.43
  4. Step 4: Simplify right side
    5,731.26x = 43,938,791.81
  5. Step 5: Solve for x
    x = 43,938,791.81/5,731.26
  6. Step 6: Final answer
    x = 7,666.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.