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Finding the Fourth Proportional to 4,157.44, 6,235.92 and 1,235.68

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Solution

The fourth proportional to 4,157.44, 6,235.92 and 1,235.68 is: 1,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.44 : 6,235.92 = 1,235.68 : x
  2. Step 2: Convert to fraction form
    4,157.44/6,235.92 = 1,235.68/x
  3. Step 3: Cross multiply
    4,157.44x = 6,235.92 × 1,235.68
  4. Step 4: Simplify right side
    4,157.44x = 7,705,601.63
  5. Step 5: Solve for x
    x = 7,705,601.63/4,157.44
  6. Step 6: Final answer
    x = 1,853.45

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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.