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Finding the Fourth Proportional to 4,883.54, 7,325.33 and 1,962.09

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Solution

The fourth proportional to 4,883.54, 7,325.33 and 1,962.09 is: 2,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.54 : 7,325.33 = 1,962.09 : x
  2. Step 2: Convert to fraction form
    4,883.54/7,325.33 = 1,962.09/x
  3. Step 3: Cross multiply
    4,883.54x = 7,325.33 × 1,962.09
  4. Step 4: Simplify right side
    4,883.54x = 14,372,946.93
  5. Step 5: Solve for x
    x = 14,372,946.93/4,883.54
  6. Step 6: Final answer
    x = 2,943.14

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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.