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Finding the Fourth Proportional to 5,868.90, 8,094.87 and 3,771

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Solution

The fourth proportional to 5,868.90, 8,094.87 and 3,771 is: 5,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.90 : 8,094.87 = 3,771 : x
  2. Step 2: Convert to fraction form
    5,868.90/8,094.87 = 3,771/x
  3. Step 3: Cross multiply
    5,868.90x = 8,094.87 × 3,771
  4. Step 4: Simplify right side
    5,868.90x = 30,525,754.77
  5. Step 5: Solve for x
    x = 30,525,754.77/5,868.90
  6. Step 6: Final answer
    x = 5,201.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.