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Finding the Fourth Proportional to 5,911.28, 8,156.44 and 3,702

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Solution

The fourth proportional to 5,911.28, 8,156.44 and 3,702 is: 5,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.28 : 8,156.44 = 3,702 : x
  2. Step 2: Convert to fraction form
    5,911.28/8,156.44 = 3,702/x
  3. Step 3: Cross multiply
    5,911.28x = 8,156.44 × 3,702
  4. Step 4: Simplify right side
    5,911.28x = 30,195,140.88
  5. Step 5: Solve for x
    x = 30,195,140.88/5,911.28
  6. Step 6: Final answer
    x = 5,108.05

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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.