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Finding the Fourth Proportional to 3,781.68, 5,669.28 and 2,139

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Solution

The fourth proportional to 3,781.68, 5,669.28 and 2,139 is: 3,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.68 : 5,669.28 = 2,139 : x
  2. Step 2: Convert to fraction form
    3,781.68/5,669.28 = 2,139/x
  3. Step 3: Cross multiply
    3,781.68x = 5,669.28 × 2,139
  4. Step 4: Simplify right side
    3,781.68x = 12,126,589.92
  5. Step 5: Solve for x
    x = 12,126,589.92/3,781.68
  6. Step 6: Final answer
    x = 3,206.67

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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.