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Finding the Fourth Proportional to 4,297.94, 6,445.87 and 3,141.56

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Solution

The fourth proportional to 4,297.94, 6,445.87 and 3,141.56 is: 4,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.94 : 6,445.87 = 3,141.56 : x
  2. Step 2: Convert to fraction form
    4,297.94/6,445.87 = 3,141.56/x
  3. Step 3: Cross multiply
    4,297.94x = 6,445.87 × 3,141.56
  4. Step 4: Simplify right side
    4,297.94x = 20,250,095.62
  5. Step 5: Solve for x
    x = 20,250,095.62/4,297.94
  6. Step 6: Final answer
    x = 4,711.58

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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.