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Finding the Fourth Proportional to 5,712.84, 7,883.01 and 3,195.05

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Solution

The fourth proportional to 5,712.84, 7,883.01 and 3,195.05 is: 4,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.84 : 7,883.01 = 3,195.05 : x
  2. Step 2: Convert to fraction form
    5,712.84/7,883.01 = 3,195.05/x
  3. Step 3: Cross multiply
    5,712.84x = 7,883.01 × 3,195.05
  4. Step 4: Simplify right side
    5,712.84x = 25,186,571.69
  5. Step 5: Solve for x
    x = 25,186,571.69/5,712.84
  6. Step 6: Final answer
    x = 4,408.77

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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.