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Finding the Fourth Proportional to 5,604.92, 8,412.56 and 2,833.52

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Solution

The fourth proportional to 5,604.92, 8,412.56 and 2,833.52 is: 4,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.92 : 8,412.56 = 2,833.52 : x
  2. Step 2: Convert to fraction form
    5,604.92/8,412.56 = 2,833.52/x
  3. Step 3: Cross multiply
    5,604.92x = 8,412.56 × 2,833.52
  4. Step 4: Simplify right side
    5,604.92x = 23,837,157.01
  5. Step 5: Solve for x
    x = 23,837,157.01/5,604.92
  6. Step 6: Final answer
    x = 4,252.90

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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.