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Finding the Fourth Proportional to 5,629.61, 8,444.42 and 1,469.62

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Solution

The fourth proportional to 5,629.61, 8,444.42 and 1,469.62 is: 2,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.61 : 8,444.42 = 1,469.62 : x
  2. Step 2: Convert to fraction form
    5,629.61/8,444.42 = 1,469.62/x
  3. Step 3: Cross multiply
    5,629.61x = 8,444.42 × 1,469.62
  4. Step 4: Simplify right side
    5,629.61x = 12,410,088.52
  5. Step 5: Solve for x
    x = 12,410,088.52/5,629.61
  6. Step 6: Final answer
    x = 2,204.43

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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.