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Finding the Fourth Proportional to 3,204.52, 4,408.26 and 2,804.52

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Solution

The fourth proportional to 3,204.52, 4,408.26 and 2,804.52 is: 3,858.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.52 : 4,408.26 = 2,804.52 : x
  2. Step 2: Convert to fraction form
    3,204.52/4,408.26 = 2,804.52/x
  3. Step 3: Cross multiply
    3,204.52x = 4,408.26 × 2,804.52
  4. Step 4: Simplify right side
    3,204.52x = 12,363,053.34
  5. Step 5: Solve for x
    x = 12,363,053.34/3,204.52
  6. Step 6: Final answer
    x = 3,858.00

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