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Finding the Fourth Proportional to 4,157.60, 6,240.05 and 2,310.80

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Solution

The fourth proportional to 4,157.60, 6,240.05 and 2,310.80 is: 3,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.60 : 6,240.05 = 2,310.80 : x
  2. Step 2: Convert to fraction form
    4,157.60/6,240.05 = 2,310.80/x
  3. Step 3: Cross multiply
    4,157.60x = 6,240.05 × 2,310.80
  4. Step 4: Simplify right side
    4,157.60x = 14,419,507.54
  5. Step 5: Solve for x
    x = 14,419,507.54/4,157.60
  6. Step 6: Final answer
    x = 3,468.23

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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.