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Finding the Fourth Proportional to 4,761.18, 7,137.07 and 2,257.98

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Solution

The fourth proportional to 4,761.18, 7,137.07 and 2,257.98 is: 3,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.18 : 7,137.07 = 2,257.98 : x
  2. Step 2: Convert to fraction form
    4,761.18/7,137.07 = 2,257.98/x
  3. Step 3: Cross multiply
    4,761.18x = 7,137.07 × 2,257.98
  4. Step 4: Simplify right side
    4,761.18x = 16,115,361.32
  5. Step 5: Solve for x
    x = 16,115,361.32/4,761.18
  6. Step 6: Final answer
    x = 3,384.74

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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.