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Finding the Fourth Proportional to 3,424.69, 5,137.36 and 1,576.32

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Solution

The fourth proportional to 3,424.69, 5,137.36 and 1,576.32 is: 2,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.69 : 5,137.36 = 1,576.32 : x
  2. Step 2: Convert to fraction form
    3,424.69/5,137.36 = 1,576.32/x
  3. Step 3: Cross multiply
    3,424.69x = 5,137.36 × 1,576.32
  4. Step 4: Simplify right side
    3,424.69x = 8,098,123.32
  5. Step 5: Solve for x
    x = 8,098,123.32/3,424.69
  6. Step 6: Final answer
    x = 2,364.63

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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.