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Finding the Fourth Proportional to 3,469.48, 5,196.04 and 3,011

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Solution

The fourth proportional to 3,469.48, 5,196.04 and 3,011 is: 4,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.48 : 5,196.04 = 3,011 : x
  2. Step 2: Convert to fraction form
    3,469.48/5,196.04 = 3,011/x
  3. Step 3: Cross multiply
    3,469.48x = 5,196.04 × 3,011
  4. Step 4: Simplify right side
    3,469.48x = 15,645,276.44
  5. Step 5: Solve for x
    x = 15,645,276.44/3,469.48
  6. Step 6: Final answer
    x = 4,509.40

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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.