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Finding the Fourth Proportional to 5,158.96, 7,741.41 and 2,237.56

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Solution

The fourth proportional to 5,158.96, 7,741.41 and 2,237.56 is: 3,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.96 : 7,741.41 = 2,237.56 : x
  2. Step 2: Convert to fraction form
    5,158.96/7,741.41 = 2,237.56/x
  3. Step 3: Cross multiply
    5,158.96x = 7,741.41 × 2,237.56
  4. Step 4: Simplify right side
    5,158.96x = 17,321,869.36
  5. Step 5: Solve for x
    x = 17,321,869.36/5,158.96
  6. Step 6: Final answer
    x = 3,357.63

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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.