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Finding the Fourth Proportional to 4,909.14, 6,769.53 and 3,790.26

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Solution

The fourth proportional to 4,909.14, 6,769.53 and 3,790.26 is: 5,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.14 : 6,769.53 = 3,790.26 : x
  2. Step 2: Convert to fraction form
    4,909.14/6,769.53 = 3,790.26/x
  3. Step 3: Cross multiply
    4,909.14x = 6,769.53 × 3,790.26
  4. Step 4: Simplify right side
    4,909.14x = 25,658,278.78
  5. Step 5: Solve for x
    x = 25,658,278.78/4,909.14
  6. Step 6: Final answer
    x = 5,226.63

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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.