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Finding the Fourth Proportional to 3,428.76, 5,142.96 and 1,878.56

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Solution

The fourth proportional to 3,428.76, 5,142.96 and 1,878.56 is: 2,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.76 : 5,142.96 = 1,878.56 : x
  2. Step 2: Convert to fraction form
    3,428.76/5,142.96 = 1,878.56/x
  3. Step 3: Cross multiply
    3,428.76x = 5,142.96 × 1,878.56
  4. Step 4: Simplify right side
    3,428.76x = 9,661,352.51
  5. Step 5: Solve for x
    x = 9,661,352.51/3,428.76
  6. Step 6: Final answer
    x = 2,817.74

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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.