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Finding the Fourth Proportional to 3,887.10, 5,830.92 and 3,158.10

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Solution

The fourth proportional to 3,887.10, 5,830.92 and 3,158.10 is: 4,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.10 : 5,830.92 = 3,158.10 : x
  2. Step 2: Convert to fraction form
    3,887.10/5,830.92 = 3,158.10/x
  3. Step 3: Cross multiply
    3,887.10x = 5,830.92 × 3,158.10
  4. Step 4: Simplify right side
    3,887.10x = 18,414,628.45
  5. Step 5: Solve for x
    x = 18,414,628.45/3,887.10
  6. Step 6: Final answer
    x = 4,737.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.