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Finding the Fourth Proportional to 5,803.44, 8,008.20 and 3,285.24

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Solution

The fourth proportional to 5,803.44, 8,008.20 and 3,285.24 is: 4,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.44 : 8,008.20 = 3,285.24 : x
  2. Step 2: Convert to fraction form
    5,803.44/8,008.20 = 3,285.24/x
  3. Step 3: Cross multiply
    5,803.44x = 8,008.20 × 3,285.24
  4. Step 4: Simplify right side
    5,803.44x = 26,308,858.97
  5. Step 5: Solve for x
    x = 26,308,858.97/5,803.44
  6. Step 6: Final answer
    x = 4,533.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.