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Finding the Fourth Proportional to 3,431.34, 4,732.63 and 2,953.61

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Solution

The fourth proportional to 3,431.34, 4,732.63 and 2,953.61 is: 4,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.34 : 4,732.63 = 2,953.61 : x
  2. Step 2: Convert to fraction form
    3,431.34/4,732.63 = 2,953.61/x
  3. Step 3: Cross multiply
    3,431.34x = 4,732.63 × 2,953.61
  4. Step 4: Simplify right side
    3,431.34x = 13,978,319.63
  5. Step 5: Solve for x
    x = 13,978,319.63/3,431.34
  6. Step 6: Final answer
    x = 4,073.73

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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.