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Finding the Fourth Proportional to 4,157.13, 6,235.97 and 1,235.19

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Solution

The fourth proportional to 4,157.13, 6,235.97 and 1,235.19 is: 1,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.13 : 6,235.97 = 1,235.19 : x
  2. Step 2: Convert to fraction form
    4,157.13/6,235.97 = 1,235.19/x
  3. Step 3: Cross multiply
    4,157.13x = 6,235.97 × 1,235.19
  4. Step 4: Simplify right side
    4,157.13x = 7,702,601.61
  5. Step 5: Solve for x
    x = 7,702,601.61/4,157.13
  6. Step 6: Final answer
    x = 1,852.87

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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.