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Finding the Fourth Proportional to 4,290.57, 6,399.95 and 3,589.38

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Solution

The fourth proportional to 4,290.57, 6,399.95 and 3,589.38 is: 5,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.57 : 6,399.95 = 3,589.38 : x
  2. Step 2: Convert to fraction form
    4,290.57/6,399.95 = 3,589.38/x
  3. Step 3: Cross multiply
    4,290.57x = 6,399.95 × 3,589.38
  4. Step 4: Simplify right side
    4,290.57x = 22,971,834.58
  5. Step 5: Solve for x
    x = 22,971,834.58/4,290.57
  6. Step 6: Final answer
    x = 5,354.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.