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Finding the Fourth Proportional to 5,348.49, 7,383.27 and 3,678.54

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Solution

The fourth proportional to 5,348.49, 7,383.27 and 3,678.54 is: 5,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.49 : 7,383.27 = 3,678.54 : x
  2. Step 2: Convert to fraction form
    5,348.49/7,383.27 = 3,678.54/x
  3. Step 3: Cross multiply
    5,348.49x = 7,383.27 × 3,678.54
  4. Step 4: Simplify right side
    5,348.49x = 27,159,654.03
  5. Step 5: Solve for x
    x = 27,159,654.03/5,348.49
  6. Step 6: Final answer
    x = 5,078.00

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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.