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Finding the Fourth Proportional to 4,589.82, 6,883.79 and 1,302.03

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Solution

The fourth proportional to 4,589.82, 6,883.79 and 1,302.03 is: 1,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.82 : 6,883.79 = 1,302.03 : x
  2. Step 2: Convert to fraction form
    4,589.82/6,883.79 = 1,302.03/x
  3. Step 3: Cross multiply
    4,589.82x = 6,883.79 × 1,302.03
  4. Step 4: Simplify right side
    4,589.82x = 8,962,894.58
  5. Step 5: Solve for x
    x = 8,962,894.58/4,589.82
  6. Step 6: Final answer
    x = 1,952.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.