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Finding the Fourth Proportional to 5,261.67, 7,893.78 and 1,751.67

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Solution

The fourth proportional to 5,261.67, 7,893.78 and 1,751.67 is: 2,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.67 : 7,893.78 = 1,751.67 : x
  2. Step 2: Convert to fraction form
    5,261.67/7,893.78 = 1,751.67/x
  3. Step 3: Cross multiply
    5,261.67x = 7,893.78 × 1,751.67
  4. Step 4: Simplify right side
    5,261.67x = 13,827,297.61
  5. Step 5: Solve for x
    x = 13,827,297.61/5,261.67
  6. Step 6: Final answer
    x = 2,627.93

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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.