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Finding the Fourth Proportional to 3,709.85, 5,123.21 and 3,175.65

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Solution

The fourth proportional to 3,709.85, 5,123.21 and 3,175.65 is: 4,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.85 : 5,123.21 = 3,175.65 : x
  2. Step 2: Convert to fraction form
    3,709.85/5,123.21 = 3,175.65/x
  3. Step 3: Cross multiply
    3,709.85x = 5,123.21 × 3,175.65
  4. Step 4: Simplify right side
    3,709.85x = 16,269,505.96
  5. Step 5: Solve for x
    x = 16,269,505.96/3,709.85
  6. Step 6: Final answer
    x = 4,385.49

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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.