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Finding the Fourth Proportional to 4,883.44, 7,323.11 and 1,921.42

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Solution

The fourth proportional to 4,883.44, 7,323.11 and 1,921.42 is: 2,881.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.44 : 7,323.11 = 1,921.42 : x
  2. Step 2: Convert to fraction form
    4,883.44/7,323.11 = 1,921.42/x
  3. Step 3: Cross multiply
    4,883.44x = 7,323.11 × 1,921.42
  4. Step 4: Simplify right side
    4,883.44x = 14,070,776.77
  5. Step 5: Solve for x
    x = 14,070,776.77/4,883.44
  6. Step 6: Final answer
    x = 2,881.33

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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.