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Finding the Fourth Proportional to 4,576.92, 6,317.64 and 2,688.47

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Solution

The fourth proportional to 4,576.92, 6,317.64 and 2,688.47 is: 3,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.92 : 6,317.64 = 2,688.47 : x
  2. Step 2: Convert to fraction form
    4,576.92/6,317.64 = 2,688.47/x
  3. Step 3: Cross multiply
    4,576.92x = 6,317.64 × 2,688.47
  4. Step 4: Simplify right side
    4,576.92x = 16,984,754.02
  5. Step 5: Solve for x
    x = 16,984,754.02/4,576.92
  6. Step 6: Final answer
    x = 3,710.96

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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.