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Finding the Fourth Proportional to 5,654.80, 7,795.43 and 3,971.08

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Solution

The fourth proportional to 5,654.80, 7,795.43 and 3,971.08 is: 5,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.80 : 7,795.43 = 3,971.08 : x
  2. Step 2: Convert to fraction form
    5,654.80/7,795.43 = 3,971.08/x
  3. Step 3: Cross multiply
    5,654.80x = 7,795.43 × 3,971.08
  4. Step 4: Simplify right side
    5,654.80x = 30,956,276.16
  5. Step 5: Solve for x
    x = 30,956,276.16/5,654.80
  6. Step 6: Final answer
    x = 5,474.34

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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.