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Finding the Fourth Proportional to 3,927.62, 5,892.30 and 1,295.02

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Solution

The fourth proportional to 3,927.62, 5,892.30 and 1,295.02 is: 1,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.62 : 5,892.30 = 1,295.02 : x
  2. Step 2: Convert to fraction form
    3,927.62/5,892.30 = 1,295.02/x
  3. Step 3: Cross multiply
    3,927.62x = 5,892.30 × 1,295.02
  4. Step 4: Simplify right side
    3,927.62x = 7,630,646.35
  5. Step 5: Solve for x
    x = 7,630,646.35/3,927.62
  6. Step 6: Final answer
    x = 1,942.82

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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.