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Finding the Fourth Proportional to 3,265.49, 4,496.14 and 2,881.83

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Solution

The fourth proportional to 3,265.49, 4,496.14 and 2,881.83 is: 3,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.49 : 4,496.14 = 2,881.83 : x
  2. Step 2: Convert to fraction form
    3,265.49/4,496.14 = 2,881.83/x
  3. Step 3: Cross multiply
    3,265.49x = 4,496.14 × 2,881.83
  4. Step 4: Simplify right side
    3,265.49x = 12,957,102.74
  5. Step 5: Solve for x
    x = 12,957,102.74/3,265.49
  6. Step 6: Final answer
    x = 3,967.89

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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.