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Finding the Fourth Proportional to 4,576.92, 6,855.80 and 3,795.08

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Solution

The fourth proportional to 4,576.92, 6,855.80 and 3,795.08 is: 5,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.92 : 6,855.80 = 3,795.08 : x
  2. Step 2: Convert to fraction form
    4,576.92/6,855.80 = 3,795.08/x
  3. Step 3: Cross multiply
    4,576.92x = 6,855.80 × 3,795.08
  4. Step 4: Simplify right side
    4,576.92x = 26,018,309.46
  5. Step 5: Solve for x
    x = 26,018,309.46/4,576.92
  6. Step 6: Final answer
    x = 5,684.68

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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.