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Finding the Fourth Proportional to 3,589.47, 4,942.76 and 3,328.11

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Solution

The fourth proportional to 3,589.47, 4,942.76 and 3,328.11 is: 4,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.47 : 4,942.76 = 3,328.11 : x
  2. Step 2: Convert to fraction form
    3,589.47/4,942.76 = 3,328.11/x
  3. Step 3: Cross multiply
    3,589.47x = 4,942.76 × 3,328.11
  4. Step 4: Simplify right side
    3,589.47x = 16,450,032.34
  5. Step 5: Solve for x
    x = 16,450,032.34/3,589.47
  6. Step 6: Final answer
    x = 4,582.86

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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.