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Finding the Fourth Proportional to 3,909.72, 5,394.78 and 2,418.63

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Solution

The fourth proportional to 3,909.72, 5,394.78 and 2,418.63 is: 3,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.72 : 5,394.78 = 2,418.63 : x
  2. Step 2: Convert to fraction form
    3,909.72/5,394.78 = 2,418.63/x
  3. Step 3: Cross multiply
    3,909.72x = 5,394.78 × 2,418.63
  4. Step 4: Simplify right side
    3,909.72x = 13,047,976.75
  5. Step 5: Solve for x
    x = 13,047,976.75/3,909.72
  6. Step 6: Final answer
    x = 3,337.32

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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.