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Finding the Fourth Proportional to 3,589.13, 4,952.81 and 2,017.13

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Solution

The fourth proportional to 3,589.13, 4,952.81 and 2,017.13 is: 2,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.13 : 4,952.81 = 2,017.13 : x
  2. Step 2: Convert to fraction form
    3,589.13/4,952.81 = 2,017.13/x
  3. Step 3: Cross multiply
    3,589.13x = 4,952.81 × 2,017.13
  4. Step 4: Simplify right side
    3,589.13x = 9,990,441.91
  5. Step 5: Solve for x
    x = 9,990,441.91/3,589.13
  6. Step 6: Final answer
    x = 2,783.53

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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.