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Finding the Fourth Proportional to 4,125.79, 6,191.74 and 2,278.48

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Solution

The fourth proportional to 4,125.79, 6,191.74 and 2,278.48 is: 3,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.79 : 6,191.74 = 2,278.48 : x
  2. Step 2: Convert to fraction form
    4,125.79/6,191.74 = 2,278.48/x
  3. Step 3: Cross multiply
    4,125.79x = 6,191.74 × 2,278.48
  4. Step 4: Simplify right side
    4,125.79x = 14,107,754.73
  5. Step 5: Solve for x
    x = 14,107,754.73/4,125.79
  6. Step 6: Final answer
    x = 3,419.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.