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Finding the Fourth Proportional to 5,655.40, 7,796.20 and 3,971.76

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Solution

The fourth proportional to 5,655.40, 7,796.20 and 3,971.76 is: 5,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.40 : 7,796.20 = 3,971.76 : x
  2. Step 2: Convert to fraction form
    5,655.40/7,796.20 = 3,971.76/x
  3. Step 3: Cross multiply
    5,655.40x = 7,796.20 × 3,971.76
  4. Step 4: Simplify right side
    5,655.40x = 30,964,635.31
  5. Step 5: Solve for x
    x = 30,964,635.31/5,655.40
  6. Step 6: Final answer
    x = 5,475.23

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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.