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Finding the Fourth Proportional to 4,807.92, 7,200.92 and 3,052.82

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Solution

The fourth proportional to 4,807.92, 7,200.92 and 3,052.82 is: 4,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.92 : 7,200.92 = 3,052.82 : x
  2. Step 2: Convert to fraction form
    4,807.92/7,200.92 = 3,052.82/x
  3. Step 3: Cross multiply
    4,807.92x = 7,200.92 × 3,052.82
  4. Step 4: Simplify right side
    4,807.92x = 21,983,112.59
  5. Step 5: Solve for x
    x = 21,983,112.59/4,807.92
  6. Step 6: Final answer
    x = 4,572.27

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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.