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Finding the Fourth Proportional to 5,654.40, 7,805.75 and 3,769.13

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Solution

The fourth proportional to 5,654.40, 7,805.75 and 3,769.13 is: 5,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.40 : 7,805.75 = 3,769.13 : x
  2. Step 2: Convert to fraction form
    5,654.40/7,805.75 = 3,769.13/x
  3. Step 3: Cross multiply
    5,654.40x = 7,805.75 × 3,769.13
  4. Step 4: Simplify right side
    5,654.40x = 29,420,828.62
  5. Step 5: Solve for x
    x = 29,420,828.62/5,654.40
  6. Step 6: Final answer
    x = 5,203.17

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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.