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Finding the Fourth Proportional to 4,392.38, 6,589.71 and 1,314.38

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Solution

The fourth proportional to 4,392.38, 6,589.71 and 1,314.38 is: 1,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.38 : 6,589.71 = 1,314.38 : x
  2. Step 2: Convert to fraction form
    4,392.38/6,589.71 = 1,314.38/x
  3. Step 3: Cross multiply
    4,392.38x = 6,589.71 × 1,314.38
  4. Step 4: Simplify right side
    4,392.38x = 8,661,350.08
  5. Step 5: Solve for x
    x = 8,661,350.08/4,392.38
  6. Step 6: Final answer
    x = 1,971.91

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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.