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Finding the Fourth Proportional to 5,662.94, 8,494.44 and 1,767.02

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Solution

The fourth proportional to 5,662.94, 8,494.44 and 1,767.02 is: 2,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.94 : 8,494.44 = 1,767.02 : x
  2. Step 2: Convert to fraction form
    5,662.94/8,494.44 = 1,767.02/x
  3. Step 3: Cross multiply
    5,662.94x = 8,494.44 × 1,767.02
  4. Step 4: Simplify right side
    5,662.94x = 15,009,845.37
  5. Step 5: Solve for x
    x = 15,009,845.37/5,662.94
  6. Step 6: Final answer
    x = 2,650.54

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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.