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Finding the Fourth Proportional to 3,376.96, 5,065.44 and 1,427.84

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Solution

The fourth proportional to 3,376.96, 5,065.44 and 1,427.84 is: 2,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.96 : 5,065.44 = 1,427.84 : x
  2. Step 2: Convert to fraction form
    3,376.96/5,065.44 = 1,427.84/x
  3. Step 3: Cross multiply
    3,376.96x = 5,065.44 × 1,427.84
  4. Step 4: Simplify right side
    3,376.96x = 7,232,637.85
  5. Step 5: Solve for x
    x = 7,232,637.85/3,376.96
  6. Step 6: Final answer
    x = 2,141.76

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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.