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Finding the Fourth Proportional to 4,363.38, 6,542.91 and 1,589.94

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Solution

The fourth proportional to 4,363.38, 6,542.91 and 1,589.94 is: 2,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.38 : 6,542.91 = 1,589.94 : x
  2. Step 2: Convert to fraction form
    4,363.38/6,542.91 = 1,589.94/x
  3. Step 3: Cross multiply
    4,363.38x = 6,542.91 × 1,589.94
  4. Step 4: Simplify right side
    4,363.38x = 10,402,834.33
  5. Step 5: Solve for x
    x = 10,402,834.33/4,363.38
  6. Step 6: Final answer
    x = 2,384.12

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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.