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Finding the Fourth Proportional to 3,748.50, 5,175.33 and 3,354.84

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Solution

The fourth proportional to 3,748.50, 5,175.33 and 3,354.84 is: 4,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.50 : 5,175.33 = 3,354.84 : x
  2. Step 2: Convert to fraction form
    3,748.50/5,175.33 = 3,354.84/x
  3. Step 3: Cross multiply
    3,748.50x = 5,175.33 × 3,354.84
  4. Step 4: Simplify right side
    3,748.50x = 17,362,404.10
  5. Step 5: Solve for x
    x = 17,362,404.10/3,748.50
  6. Step 6: Final answer
    x = 4,631.83

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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.