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Finding the Fourth Proportional to 4,761.33, 7,137.91 and 2,297.89

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Solution

The fourth proportional to 4,761.33, 7,137.91 and 2,297.89 is: 3,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.33 : 7,137.91 = 2,297.89 : x
  2. Step 2: Convert to fraction form
    4,761.33/7,137.91 = 2,297.89/x
  3. Step 3: Cross multiply
    4,761.33x = 7,137.91 × 2,297.89
  4. Step 4: Simplify right side
    4,761.33x = 16,402,090.73
  5. Step 5: Solve for x
    x = 16,402,090.73/4,761.33
  6. Step 6: Final answer
    x = 3,444.85

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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.