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Finding the Fourth Proportional to 4,745.36, 6,550.44 and 2,882

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Solution

The fourth proportional to 4,745.36, 6,550.44 and 2,882 is: 3,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.36 : 6,550.44 = 2,882 : x
  2. Step 2: Convert to fraction form
    4,745.36/6,550.44 = 2,882/x
  3. Step 3: Cross multiply
    4,745.36x = 6,550.44 × 2,882
  4. Step 4: Simplify right side
    4,745.36x = 18,878,368.08
  5. Step 5: Solve for x
    x = 18,878,368.08/4,745.36
  6. Step 6: Final answer
    x = 3,978.28

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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.