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Finding the Fourth Proportional to 4,157.52, 6,205.86 and 3,665.46

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Solution

The fourth proportional to 4,157.52, 6,205.86 and 3,665.46 is: 5,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.52 : 6,205.86 = 3,665.46 : x
  2. Step 2: Convert to fraction form
    4,157.52/6,205.86 = 3,665.46/x
  3. Step 3: Cross multiply
    4,157.52x = 6,205.86 × 3,665.46
  4. Step 4: Simplify right side
    4,157.52x = 22,747,331.60
  5. Step 5: Solve for x
    x = 22,747,331.60/4,157.52
  6. Step 6: Final answer
    x = 5,471.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.