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Finding the Fourth Proportional to 4,157.70, 6,236.48 and 1,236.02

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Solution

The fourth proportional to 4,157.70, 6,236.48 and 1,236.02 is: 1,854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.70 : 6,236.48 = 1,236.02 : x
  2. Step 2: Convert to fraction form
    4,157.70/6,236.48 = 1,236.02/x
  3. Step 3: Cross multiply
    4,157.70x = 6,236.48 × 1,236.02
  4. Step 4: Simplify right side
    4,157.70x = 7,708,414.01
  5. Step 5: Solve for x
    x = 7,708,414.01/4,157.70
  6. Step 6: Final answer
    x = 1,854.01

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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.