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Finding the Fourth Proportional to 3,682.34, 5,526.24 and 2,858.56

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Solution

The fourth proportional to 3,682.34, 5,526.24 and 2,858.56 is: 4,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.34 : 5,526.24 = 2,858.56 : x
  2. Step 2: Convert to fraction form
    3,682.34/5,526.24 = 2,858.56/x
  3. Step 3: Cross multiply
    3,682.34x = 5,526.24 × 2,858.56
  4. Step 4: Simplify right side
    3,682.34x = 15,797,088.61
  5. Step 5: Solve for x
    x = 15,797,088.61/3,682.34
  6. Step 6: Final answer
    x = 4,289.96

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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.