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Finding the Fourth Proportional to 5,581.88, 7,704 and 3,812.84

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Solution

The fourth proportional to 5,581.88, 7,704 and 3,812.84 is: 5,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.88 : 7,704 = 3,812.84 : x
  2. Step 2: Convert to fraction form
    5,581.88/7,704 = 3,812.84/x
  3. Step 3: Cross multiply
    5,581.88x = 7,704 × 3,812.84
  4. Step 4: Simplify right side
    5,581.88x = 29,374,119.36
  5. Step 5: Solve for x
    x = 29,374,119.36/5,581.88
  6. Step 6: Final answer
    x = 5,262.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.