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Finding the Fourth Proportional to 5,664.50, 8,490.36 and 2,883.36

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Solution

The fourth proportional to 5,664.50, 8,490.36 and 2,883.36 is: 4,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.50 : 8,490.36 = 2,883.36 : x
  2. Step 2: Convert to fraction form
    5,664.50/8,490.36 = 2,883.36/x
  3. Step 3: Cross multiply
    5,664.50x = 8,490.36 × 2,883.36
  4. Step 4: Simplify right side
    5,664.50x = 24,480,764.41
  5. Step 5: Solve for x
    x = 24,480,764.41/5,664.50
  6. Step 6: Final answer
    x = 4,321.79

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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.