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Finding the Fourth Proportional to 3,142.10, 4,709.03 and 1,756.09

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Solution

The fourth proportional to 3,142.10, 4,709.03 and 1,756.09 is: 2,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.10 : 4,709.03 = 1,756.09 : x
  2. Step 2: Convert to fraction form
    3,142.10/4,709.03 = 1,756.09/x
  3. Step 3: Cross multiply
    3,142.10x = 4,709.03 × 1,756.09
  4. Step 4: Simplify right side
    3,142.10x = 8,269,480.49
  5. Step 5: Solve for x
    x = 8,269,480.49/3,142.10
  6. Step 6: Final answer
    x = 2,631.83

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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.