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Finding the Fourth Proportional to 4,153.01, 6,231.06 and 1,962.09

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Solution

The fourth proportional to 4,153.01, 6,231.06 and 1,962.09 is: 2,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.01 : 6,231.06 = 1,962.09 : x
  2. Step 2: Convert to fraction form
    4,153.01/6,231.06 = 1,962.09/x
  3. Step 3: Cross multiply
    4,153.01x = 6,231.06 × 1,962.09
  4. Step 4: Simplify right side
    4,153.01x = 12,225,900.52
  5. Step 5: Solve for x
    x = 12,225,900.52/4,153.01
  6. Step 6: Final answer
    x = 2,943.87

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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.