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Finding the Fourth Proportional to 5,362.24, 7,402.56 and 3,684.28

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Solution

The fourth proportional to 5,362.24, 7,402.56 and 3,684.28 is: 5,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.24 : 7,402.56 = 3,684.28 : x
  2. Step 2: Convert to fraction form
    5,362.24/7,402.56 = 3,684.28/x
  3. Step 3: Cross multiply
    5,362.24x = 7,402.56 × 3,684.28
  4. Step 4: Simplify right side
    5,362.24x = 27,273,103.76
  5. Step 5: Solve for x
    x = 27,273,103.76/5,362.24
  6. Step 6: Final answer
    x = 5,086.14

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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.