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Finding the Fourth Proportional to 4,174.93, 6,258.52 and 1,540.98

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Solution

The fourth proportional to 4,174.93, 6,258.52 and 1,540.98 is: 2,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.93 : 6,258.52 = 1,540.98 : x
  2. Step 2: Convert to fraction form
    4,174.93/6,258.52 = 1,540.98/x
  3. Step 3: Cross multiply
    4,174.93x = 6,258.52 × 1,540.98
  4. Step 4: Simplify right side
    4,174.93x = 9,644,246.44
  5. Step 5: Solve for x
    x = 9,644,246.44/4,174.93
  6. Step 6: Final answer
    x = 2,310.04

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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.