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Finding the Fourth Proportional to 3,748.68, 5,623.02 and 2,102.76

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Solution

The fourth proportional to 3,748.68, 5,623.02 and 2,102.76 is: 3,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.68 : 5,623.02 = 2,102.76 : x
  2. Step 2: Convert to fraction form
    3,748.68/5,623.02 = 2,102.76/x
  3. Step 3: Cross multiply
    3,748.68x = 5,623.02 × 2,102.76
  4. Step 4: Simplify right side
    3,748.68x = 11,823,861.54
  5. Step 5: Solve for x
    x = 11,823,861.54/3,748.68
  6. Step 6: Final answer
    x = 3,154.14

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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.