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Finding the Fourth Proportional to 5,744.90, 7,927.36 and 3,856.10

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Solution

The fourth proportional to 5,744.90, 7,927.36 and 3,856.10 is: 5,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.90 : 7,927.36 = 3,856.10 : x
  2. Step 2: Convert to fraction form
    5,744.90/7,927.36 = 3,856.10/x
  3. Step 3: Cross multiply
    5,744.90x = 7,927.36 × 3,856.10
  4. Step 4: Simplify right side
    5,744.90x = 30,568,692.90
  5. Step 5: Solve for x
    x = 30,568,692.90/5,744.90
  6. Step 6: Final answer
    x = 5,321.01

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1.5x scale

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.