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Finding the Fourth Proportional to 5,261.14, 7,893.14 and 1,751.72

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Solution

The fourth proportional to 5,261.14, 7,893.14 and 1,751.72 is: 2,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.14 : 7,893.14 = 1,751.72 : x
  2. Step 2: Convert to fraction form
    5,261.14/7,893.14 = 1,751.72/x
  3. Step 3: Cross multiply
    5,261.14x = 7,893.14 × 1,751.72
  4. Step 4: Simplify right side
    5,261.14x = 13,826,571.20
  5. Step 5: Solve for x
    x = 13,826,571.20/5,261.14
  6. Step 6: Final answer
    x = 2,628.06

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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.