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Finding the Fourth Proportional to 5,314.66, 7,973.26 and 2,540.54

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Solution

The fourth proportional to 5,314.66, 7,973.26 and 2,540.54 is: 3,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.66 : 7,973.26 = 2,540.54 : x
  2. Step 2: Convert to fraction form
    5,314.66/7,973.26 = 2,540.54/x
  3. Step 3: Cross multiply
    5,314.66x = 7,973.26 × 2,540.54
  4. Step 4: Simplify right side
    5,314.66x = 20,256,385.96
  5. Step 5: Solve for x
    x = 20,256,385.96/5,314.66
  6. Step 6: Final answer
    x = 3,811.42

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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.