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Finding the Fourth Proportional to 3,748.14, 5,623.12 and 1,555.67

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Solution

The fourth proportional to 3,748.14, 5,623.12 and 1,555.67 is: 2,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.14 : 5,623.12 = 1,555.67 : x
  2. Step 2: Convert to fraction form
    3,748.14/5,623.12 = 1,555.67/x
  3. Step 3: Cross multiply
    3,748.14x = 5,623.12 × 1,555.67
  4. Step 4: Simplify right side
    3,748.14x = 8,747,735.09
  5. Step 5: Solve for x
    x = 8,747,735.09/3,748.14
  6. Step 6: Final answer
    x = 2,333.89

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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.