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Finding the Fourth Proportional to 4,157.25, 6,235.89 and 1,421.25

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Solution

The fourth proportional to 4,157.25, 6,235.89 and 1,421.25 is: 2,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.25 : 6,235.89 = 1,421.25 : x
  2. Step 2: Convert to fraction form
    4,157.25/6,235.89 = 1,421.25/x
  3. Step 3: Cross multiply
    4,157.25x = 6,235.89 × 1,421.25
  4. Step 4: Simplify right side
    4,157.25x = 8,862,758.66
  5. Step 5: Solve for x
    x = 8,862,758.66/4,157.25
  6. Step 6: Final answer
    x = 2,131.88

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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.