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Finding the Fourth Proportional to 3,583.28, 4,942.68 and 2,589.68

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Solution

The fourth proportional to 3,583.28, 4,942.68 and 2,589.68 is: 3,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.28 : 4,942.68 = 2,589.68 : x
  2. Step 2: Convert to fraction form
    3,583.28/4,942.68 = 2,589.68/x
  3. Step 3: Cross multiply
    3,583.28x = 4,942.68 × 2,589.68
  4. Step 4: Simplify right side
    3,583.28x = 12,799,959.54
  5. Step 5: Solve for x
    x = 12,799,959.54/3,583.28
  6. Step 6: Final answer
    x = 3,572.13

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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.