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Finding the Fourth Proportional to 5,576.34, 7,693.05 and 3,216.81

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Solution

The fourth proportional to 5,576.34, 7,693.05 and 3,216.81 is: 4,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.34 : 7,693.05 = 3,216.81 : x
  2. Step 2: Convert to fraction form
    5,576.34/7,693.05 = 3,216.81/x
  3. Step 3: Cross multiply
    5,576.34x = 7,693.05 × 3,216.81
  4. Step 4: Simplify right side
    5,576.34x = 24,747,080.17
  5. Step 5: Solve for x
    x = 24,747,080.17/5,576.34
  6. Step 6: Final answer
    x = 4,437.87

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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.