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Finding the Fourth Proportional to 5,365.24, 7,406.70 and 3,687.28

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Solution

The fourth proportional to 5,365.24, 7,406.70 and 3,687.28 is: 5,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.24 : 7,406.70 = 3,687.28 : x
  2. Step 2: Convert to fraction form
    5,365.24/7,406.70 = 3,687.28/x
  3. Step 3: Cross multiply
    5,365.24x = 7,406.70 × 3,687.28
  4. Step 4: Simplify right side
    5,365.24x = 27,310,576.78
  5. Step 5: Solve for x
    x = 27,310,576.78/5,365.24
  6. Step 6: Final answer
    x = 5,090.28

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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.