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Finding the Fourth Proportional to 3,754.80, 5,182.74 and 2,428.50

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Solution

The fourth proportional to 3,754.80, 5,182.74 and 2,428.50 is: 3,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.80 : 5,182.74 = 2,428.50 : x
  2. Step 2: Convert to fraction form
    3,754.80/5,182.74 = 2,428.50/x
  3. Step 3: Cross multiply
    3,754.80x = 5,182.74 × 2,428.50
  4. Step 4: Simplify right side
    3,754.80x = 12,586,284.09
  5. Step 5: Solve for x
    x = 12,586,284.09/3,754.80
  6. Step 6: Final answer
    x = 3,352.05

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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.