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Finding the Fourth Proportional to 5,576.65, 8,356.50 and 3,815.44

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Solution

The fourth proportional to 5,576.65, 8,356.50 and 3,815.44 is: 5,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.65 : 8,356.50 = 3,815.44 : x
  2. Step 2: Convert to fraction form
    5,576.65/8,356.50 = 3,815.44/x
  3. Step 3: Cross multiply
    5,576.65x = 8,356.50 × 3,815.44
  4. Step 4: Simplify right side
    5,576.65x = 31,883,703.47
  5. Step 5: Solve for x
    x = 31,883,703.47/5,576.65
  6. Step 6: Final answer
    x = 5,717.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.