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Finding the Fourth Proportional to 3,431.63, 4,732.89 and 2,369.16

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Solution

The fourth proportional to 3,431.63, 4,732.89 and 2,369.16 is: 3,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.63 : 4,732.89 = 2,369.16 : x
  2. Step 2: Convert to fraction form
    3,431.63/4,732.89 = 2,369.16/x
  3. Step 3: Cross multiply
    3,431.63x = 4,732.89 × 2,369.16
  4. Step 4: Simplify right side
    3,431.63x = 11,212,973.67
  5. Step 5: Solve for x
    x = 11,212,973.67/3,431.63
  6. Step 6: Final answer
    x = 3,267.54

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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.