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Finding the Fourth Proportional to 3,365.28, 4,644 and 3,265.92

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Solution

The fourth proportional to 3,365.28, 4,644 and 3,265.92 is: 4,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.28 : 4,644 = 3,265.92 : x
  2. Step 2: Convert to fraction form
    3,365.28/4,644 = 3,265.92/x
  3. Step 3: Cross multiply
    3,365.28x = 4,644 × 3,265.92
  4. Step 4: Simplify right side
    3,365.28x = 15,166,932.48
  5. Step 5: Solve for x
    x = 15,166,932.48/3,365.28
  6. Step 6: Final answer
    x = 4,506.89

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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.