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Finding the Fourth Proportional to 3,527.74, 5,285.22 and 2,141.56

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Solution

The fourth proportional to 3,527.74, 5,285.22 and 2,141.56 is: 3,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.74 : 5,285.22 = 2,141.56 : x
  2. Step 2: Convert to fraction form
    3,527.74/5,285.22 = 2,141.56/x
  3. Step 3: Cross multiply
    3,527.74x = 5,285.22 × 2,141.56
  4. Step 4: Simplify right side
    3,527.74x = 11,318,615.74
  5. Step 5: Solve for x
    x = 11,318,615.74/3,527.74
  6. Step 6: Final answer
    x = 3,208.46

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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.