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Finding the Fourth Proportional to 3,811.13, 5,712.80 and 2,578.67

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Solution

The fourth proportional to 3,811.13, 5,712.80 and 2,578.67 is: 3,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.13 : 5,712.80 = 2,578.67 : x
  2. Step 2: Convert to fraction form
    3,811.13/5,712.80 = 2,578.67/x
  3. Step 3: Cross multiply
    3,811.13x = 5,712.80 × 2,578.67
  4. Step 4: Simplify right side
    3,811.13x = 14,731,433.81
  5. Step 5: Solve for x
    x = 14,731,433.81/3,811.13
  6. Step 6: Final answer
    x = 3,865.37

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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.