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Finding the Fourth Proportional to 4,205.96, 5,804.25 and 2,342.96

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Solution

The fourth proportional to 4,205.96, 5,804.25 and 2,342.96 is: 3,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.96 : 5,804.25 = 2,342.96 : x
  2. Step 2: Convert to fraction form
    4,205.96/5,804.25 = 2,342.96/x
  3. Step 3: Cross multiply
    4,205.96x = 5,804.25 × 2,342.96
  4. Step 4: Simplify right side
    4,205.96x = 13,599,125.58
  5. Step 5: Solve for x
    x = 13,599,125.58/4,205.96
  6. Step 6: Final answer
    x = 3,233.30

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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.