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Finding the Fourth Proportional to 3,293.94, 4,542.39 and 2,174.92

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Solution

The fourth proportional to 3,293.94, 4,542.39 and 2,174.92 is: 2,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.94 : 4,542.39 = 2,174.92 : x
  2. Step 2: Convert to fraction form
    3,293.94/4,542.39 = 2,174.92/x
  3. Step 3: Cross multiply
    3,293.94x = 4,542.39 × 2,174.92
  4. Step 4: Simplify right side
    3,293.94x = 9,879,334.86
  5. Step 5: Solve for x
    x = 9,879,334.86/3,293.94
  6. Step 6: Final answer
    x = 2,999.25

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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.