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Finding the Fourth Proportional to 4,068.43, 6,102.53 and 1,295.27

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Solution

The fourth proportional to 4,068.43, 6,102.53 and 1,295.27 is: 1,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.43 : 6,102.53 = 1,295.27 : x
  2. Step 2: Convert to fraction form
    4,068.43/6,102.53 = 1,295.27/x
  3. Step 3: Cross multiply
    4,068.43x = 6,102.53 × 1,295.27
  4. Step 4: Simplify right side
    4,068.43x = 7,904,424.03
  5. Step 5: Solve for x
    x = 7,904,424.03/4,068.43
  6. Step 6: Final answer
    x = 1,942.87

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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.