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Finding the Fourth Proportional to 4,158.96, 6,235.44 and 1,967.52

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Solution

The fourth proportional to 4,158.96, 6,235.44 and 1,967.52 is: 2,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.96 : 6,235.44 = 1,967.52 : x
  2. Step 2: Convert to fraction form
    4,158.96/6,235.44 = 1,967.52/x
  3. Step 3: Cross multiply
    4,158.96x = 6,235.44 × 1,967.52
  4. Step 4: Simplify right side
    4,158.96x = 12,268,352.91
  5. Step 5: Solve for x
    x = 12,268,352.91/4,158.96
  6. Step 6: Final answer
    x = 2,949.86

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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.