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Finding the Fourth Proportional to 5,293.26, 7,934.31 and 2,004.93

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Solution

The fourth proportional to 5,293.26, 7,934.31 and 2,004.93 is: 3,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.26 : 7,934.31 = 2,004.93 : x
  2. Step 2: Convert to fraction form
    5,293.26/7,934.31 = 2,004.93/x
  3. Step 3: Cross multiply
    5,293.26x = 7,934.31 × 2,004.93
  4. Step 4: Simplify right side
    5,293.26x = 15,907,736.15
  5. Step 5: Solve for x
    x = 15,907,736.15/5,293.26
  6. Step 6: Final answer
    x = 3,005.28

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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.