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Finding the Fourth Proportional to 3,846.02, 5,760.65 and 2,528.28

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Solution

The fourth proportional to 3,846.02, 5,760.65 and 2,528.28 is: 3,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.02 : 5,760.65 = 2,528.28 : x
  2. Step 2: Convert to fraction form
    3,846.02/5,760.65 = 2,528.28/x
  3. Step 3: Cross multiply
    3,846.02x = 5,760.65 × 2,528.28
  4. Step 4: Simplify right side
    3,846.02x = 14,564,542.50
  5. Step 5: Solve for x
    x = 14,564,542.50/3,846.02
  6. Step 6: Final answer
    x = 3,786.92

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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.