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Finding the Fourth Proportional to 3,952.86, 5,454.83 and 2,184.47

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Solution

The fourth proportional to 3,952.86, 5,454.83 and 2,184.47 is: 3,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.86 : 5,454.83 = 2,184.47 : x
  2. Step 2: Convert to fraction form
    3,952.86/5,454.83 = 2,184.47/x
  3. Step 3: Cross multiply
    3,952.86x = 5,454.83 × 2,184.47
  4. Step 4: Simplify right side
    3,952.86x = 11,915,874.29
  5. Step 5: Solve for x
    x = 11,915,874.29/3,952.86
  6. Step 6: Final answer
    x = 3,014.49

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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.