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Finding the Fourth Proportional to 6,444.58, 9,669.03 and 2,745.22

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Solution

The fourth proportional to 6,444.58, 9,669.03 and 2,745.22 is: 4,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.58 : 9,669.03 = 2,745.22 : x
  2. Step 2: Convert to fraction form
    6,444.58/9,669.03 = 2,745.22/x
  3. Step 3: Cross multiply
    6,444.58x = 9,669.03 × 2,745.22
  4. Step 4: Simplify right side
    6,444.58x = 26,543,614.54
  5. Step 5: Solve for x
    x = 26,543,614.54/6,444.58
  6. Step 6: Final answer
    x = 4,118.75

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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.