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Finding the Fourth Proportional to 4,807.92, 7,213.50 and 2,342.28

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Solution

The fourth proportional to 4,807.92, 7,213.50 and 2,342.28 is: 3,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.92 : 7,213.50 = 2,342.28 : x
  2. Step 2: Convert to fraction form
    4,807.92/7,213.50 = 2,342.28/x
  3. Step 3: Cross multiply
    4,807.92x = 7,213.50 × 2,342.28
  4. Step 4: Simplify right side
    4,807.92x = 16,896,036.78
  5. Step 5: Solve for x
    x = 16,896,036.78/4,807.92
  6. Step 6: Final answer
    x = 3,514.21

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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.