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Finding the Fourth Proportional to 4,672.69, 6,448.28 and 2,576.82

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Solution

The fourth proportional to 4,672.69, 6,448.28 and 2,576.82 is: 3,555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.69 : 6,448.28 = 2,576.82 : x
  2. Step 2: Convert to fraction form
    4,672.69/6,448.28 = 2,576.82/x
  3. Step 3: Cross multiply
    4,672.69x = 6,448.28 × 2,576.82
  4. Step 4: Simplify right side
    4,672.69x = 16,616,011.74
  5. Step 5: Solve for x
    x = 16,616,011.74/4,672.69
  6. Step 6: Final answer
    x = 3,555.98

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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.