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Finding the Fourth Proportional to 3,761.12, 5,649.78 and 2,301.14

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Solution

The fourth proportional to 3,761.12, 5,649.78 and 2,301.14 is: 3,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.12 : 5,649.78 = 2,301.14 : x
  2. Step 2: Convert to fraction form
    3,761.12/5,649.78 = 2,301.14/x
  3. Step 3: Cross multiply
    3,761.12x = 5,649.78 × 2,301.14
  4. Step 4: Simplify right side
    3,761.12x = 13,000,934.75
  5. Step 5: Solve for x
    x = 13,000,934.75/3,761.12
  6. Step 6: Final answer
    x = 3,456.67

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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.