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Finding the Fourth Proportional to 4,145.55, 5,714.99 and 2,964.57

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Solution

The fourth proportional to 4,145.55, 5,714.99 and 2,964.57 is: 4,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.55 : 5,714.99 = 2,964.57 : x
  2. Step 2: Convert to fraction form
    4,145.55/5,714.99 = 2,964.57/x
  3. Step 3: Cross multiply
    4,145.55x = 5,714.99 × 2,964.57
  4. Step 4: Simplify right side
    4,145.55x = 16,942,487.90
  5. Step 5: Solve for x
    x = 16,942,487.90/4,145.55
  6. Step 6: Final answer
    x = 4,086.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.