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Finding the Fourth Proportional to 5,101.50, 7,040.07 and 2,893.50

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Solution

The fourth proportional to 5,101.50, 7,040.07 and 2,893.50 is: 3,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.50 : 7,040.07 = 2,893.50 : x
  2. Step 2: Convert to fraction form
    5,101.50/7,040.07 = 2,893.50/x
  3. Step 3: Cross multiply
    5,101.50x = 7,040.07 × 2,893.50
  4. Step 4: Simplify right side
    5,101.50x = 20,370,442.55
  5. Step 5: Solve for x
    x = 20,370,442.55/5,101.50
  6. Step 6: Final answer
    x = 3,993.03

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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.