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Finding the Fourth Proportional to 4,282.56, 5,909.88 and 2,419.56

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Solution

The fourth proportional to 4,282.56, 5,909.88 and 2,419.56 is: 3,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.56 : 5,909.88 = 2,419.56 : x
  2. Step 2: Convert to fraction form
    4,282.56/5,909.88 = 2,419.56/x
  3. Step 3: Cross multiply
    4,282.56x = 5,909.88 × 2,419.56
  4. Step 4: Simplify right side
    4,282.56x = 14,299,309.25
  5. Step 5: Solve for x
    x = 14,299,309.25/4,282.56
  6. Step 6: Final answer
    x = 3,338.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.