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Finding the Fourth Proportional to 3,888.96, 5,394.23 and 3,748.85

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Solution

The fourth proportional to 3,888.96, 5,394.23 and 3,748.85 is: 5,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.96 : 5,394.23 = 3,748.85 : x
  2. Step 2: Convert to fraction form
    3,888.96/5,394.23 = 3,748.85/x
  3. Step 3: Cross multiply
    3,888.96x = 5,394.23 × 3,748.85
  4. Step 4: Simplify right side
    3,888.96x = 20,222,159.14
  5. Step 5: Solve for x
    x = 20,222,159.14/3,888.96
  6. Step 6: Final answer
    x = 5,199.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.