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Finding the Fourth Proportional to 5,921.61, 8,174.76 and 3,684.21

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Solution

The fourth proportional to 5,921.61, 8,174.76 and 3,684.21 is: 5,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.61 : 8,174.76 = 3,684.21 : x
  2. Step 2: Convert to fraction form
    5,921.61/8,174.76 = 3,684.21/x
  3. Step 3: Cross multiply
    5,921.61x = 8,174.76 × 3,684.21
  4. Step 4: Simplify right side
    5,921.61x = 30,117,532.54
  5. Step 5: Solve for x
    x = 30,117,532.54/5,921.61
  6. Step 6: Final answer
    x = 5,086.04

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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.