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Finding the Fourth Proportional to 3,907.56, 5,858.50 and 1,826.40

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Solution

The fourth proportional to 3,907.56, 5,858.50 and 1,826.40 is: 2,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.56 : 5,858.50 = 1,826.40 : x
  2. Step 2: Convert to fraction form
    3,907.56/5,858.50 = 1,826.40/x
  3. Step 3: Cross multiply
    3,907.56x = 5,858.50 × 1,826.40
  4. Step 4: Simplify right side
    3,907.56x = 10,699,930.54
  5. Step 5: Solve for x
    x = 10,699,930.54/3,907.56
  6. Step 6: Final answer
    x = 2,738.27

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1.5x scale

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.