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Finding the Fourth Proportional to 4,093.50, 6,140.26 and 1,015.50

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Solution

The fourth proportional to 4,093.50, 6,140.26 and 1,015.50 is: 1,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.50 : 6,140.26 = 1,015.50 : x
  2. Step 2: Convert to fraction form
    4,093.50/6,140.26 = 1,015.50/x
  3. Step 3: Cross multiply
    4,093.50x = 6,140.26 × 1,015.50
  4. Step 4: Simplify right side
    4,093.50x = 6,235,434.03
  5. Step 5: Solve for x
    x = 6,235,434.03/4,093.50
  6. Step 6: Final answer
    x = 1,523.25

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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.