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Finding the Fourth Proportional to 4,761.34, 7,146.62 and 2,297.89

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Solution

The fourth proportional to 4,761.34, 7,146.62 and 2,297.89 is: 3,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.34 : 7,146.62 = 2,297.89 : x
  2. Step 2: Convert to fraction form
    4,761.34/7,146.62 = 2,297.89/x
  3. Step 3: Cross multiply
    4,761.34x = 7,146.62 × 2,297.89
  4. Step 4: Simplify right side
    4,761.34x = 16,422,134.51
  5. Step 5: Solve for x
    x = 16,422,134.51/4,761.34
  6. Step 6: Final answer
    x = 3,449.06

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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.