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Finding the Fourth Proportional to 3,364.72, 5,046.52 and 899.80

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Solution

The fourth proportional to 3,364.72, 5,046.52 and 899.80 is: 1,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.72 : 5,046.52 = 899.80 : x
  2. Step 2: Convert to fraction form
    3,364.72/5,046.52 = 899.80/x
  3. Step 3: Cross multiply
    3,364.72x = 5,046.52 × 899.80
  4. Step 4: Simplify right side
    3,364.72x = 4,540,858.70
  5. Step 5: Solve for x
    x = 4,540,858.70/3,364.72
  6. Step 6: Final answer
    x = 1,349.55

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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.