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Finding the Fourth Proportional to 5,504, 8,259.60 and 2,426

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Solution

The fourth proportional to 5,504, 8,259.60 and 2,426 is: 3,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504 : 8,259.60 = 2,426 : x
  2. Step 2: Convert to fraction form
    5,504/8,259.60 = 2,426/x
  3. Step 3: Cross multiply
    5,504x = 8,259.60 × 2,426
  4. Step 4: Simplify right side
    5,504x = 20,037,789.60
  5. Step 5: Solve for x
    x = 20,037,789.60/5,504
  6. Step 6: Final answer
    x = 3,640.59

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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.