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Finding the Fourth Proportional to 5,650.88, 8,478.09 and 2,533.50

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Solution

The fourth proportional to 5,650.88, 8,478.09 and 2,533.50 is: 3,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.88 : 8,478.09 = 2,533.50 : x
  2. Step 2: Convert to fraction form
    5,650.88/8,478.09 = 2,533.50/x
  3. Step 3: Cross multiply
    5,650.88x = 8,478.09 × 2,533.50
  4. Step 4: Simplify right side
    5,650.88x = 21,479,241.02
  5. Step 5: Solve for x
    x = 21,479,241.02/5,650.88
  6. Step 6: Final answer
    x = 3,801.05

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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.