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Finding the Fourth Proportional to 3,712.95, 5,571.24 and 2,624.31

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Solution

The fourth proportional to 3,712.95, 5,571.24 and 2,624.31 is: 3,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.95 : 5,571.24 = 2,624.31 : x
  2. Step 2: Convert to fraction form
    3,712.95/5,571.24 = 2,624.31/x
  3. Step 3: Cross multiply
    3,712.95x = 5,571.24 × 2,624.31
  4. Step 4: Simplify right side
    3,712.95x = 14,620,660.84
  5. Step 5: Solve for x
    x = 14,620,660.84/3,712.95
  6. Step 6: Final answer
    x = 3,937.75

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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.