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Finding the Fourth Proportional to 4,883.90, 7,327.22 and 1,964.26

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Solution

The fourth proportional to 4,883.90, 7,327.22 and 1,964.26 is: 2,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.90 : 7,327.22 = 1,964.26 : x
  2. Step 2: Convert to fraction form
    4,883.90/7,327.22 = 1,964.26/x
  3. Step 3: Cross multiply
    4,883.90x = 7,327.22 × 1,964.26
  4. Step 4: Simplify right side
    4,883.90x = 14,392,565.16
  5. Step 5: Solve for x
    x = 14,392,565.16/4,883.90
  6. Step 6: Final answer
    x = 2,946.94

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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.