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Finding the Fourth Proportional to 5,713.80, 8,576.10 and 3,526.80

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Solution

The fourth proportional to 5,713.80, 8,576.10 and 3,526.80 is: 5,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.80 : 8,576.10 = 3,526.80 : x
  2. Step 2: Convert to fraction form
    5,713.80/8,576.10 = 3,526.80/x
  3. Step 3: Cross multiply
    5,713.80x = 8,576.10 × 3,526.80
  4. Step 4: Simplify right side
    5,713.80x = 30,246,189.48
  5. Step 5: Solve for x
    x = 30,246,189.48/5,713.80
  6. Step 6: Final answer
    x = 5,293.53

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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.