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Finding the Fourth Proportional to 5,901.56, 8,142.16 and 3,662.64

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Solution

The fourth proportional to 5,901.56, 8,142.16 and 3,662.64 is: 5,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.56 : 8,142.16 = 3,662.64 : x
  2. Step 2: Convert to fraction form
    5,901.56/8,142.16 = 3,662.64/x
  3. Step 3: Cross multiply
    5,901.56x = 8,142.16 × 3,662.64
  4. Step 4: Simplify right side
    5,901.56x = 29,821,800.90
  5. Step 5: Solve for x
    x = 29,821,800.90/5,901.56
  6. Step 6: Final answer
    x = 5,053.21

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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.