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Finding the Fourth Proportional to 5,576.04, 7,696.68 and 3,219.84

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Solution

The fourth proportional to 5,576.04, 7,696.68 and 3,219.84 is: 4,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.04 : 7,696.68 = 3,219.84 : x
  2. Step 2: Convert to fraction form
    5,576.04/7,696.68 = 3,219.84/x
  3. Step 3: Cross multiply
    5,576.04x = 7,696.68 × 3,219.84
  4. Step 4: Simplify right side
    5,576.04x = 24,782,078.13
  5. Step 5: Solve for x
    x = 24,782,078.13/5,576.04
  6. Step 6: Final answer
    x = 4,444.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.