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Finding the Fourth Proportional to 3,450.04, 4,761.14 and 1,878.13

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Solution

The fourth proportional to 3,450.04, 4,761.14 and 1,878.13 is: 2,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.04 : 4,761.14 = 1,878.13 : x
  2. Step 2: Convert to fraction form
    3,450.04/4,761.14 = 1,878.13/x
  3. Step 3: Cross multiply
    3,450.04x = 4,761.14 × 1,878.13
  4. Step 4: Simplify right side
    3,450.04x = 8,942,039.87
  5. Step 5: Solve for x
    x = 8,942,039.87/3,450.04
  6. Step 6: Final answer
    x = 2,591.87

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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.