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Finding the Fourth Proportional to 3,589.16, 4,954.56 and 3,364.97

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Solution

The fourth proportional to 3,589.16, 4,954.56 and 3,364.97 is: 4,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.16 : 4,954.56 = 3,364.97 : x
  2. Step 2: Convert to fraction form
    3,589.16/4,954.56 = 3,364.97/x
  3. Step 3: Cross multiply
    3,589.16x = 4,954.56 × 3,364.97
  4. Step 4: Simplify right side
    3,589.16x = 16,671,928.94
  5. Step 5: Solve for x
    x = 16,671,928.94/3,589.16
  6. Step 6: Final answer
    x = 4,645.08

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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.