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Finding the Fourth Proportional to 4,578.69, 6,318.65 and 2,589.19

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Solution

The fourth proportional to 4,578.69, 6,318.65 and 2,589.19 is: 3,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.69 : 6,318.65 = 2,589.19 : x
  2. Step 2: Convert to fraction form
    4,578.69/6,318.65 = 2,589.19/x
  3. Step 3: Cross multiply
    4,578.69x = 6,318.65 × 2,589.19
  4. Step 4: Simplify right side
    4,578.69x = 16,360,185.39
  5. Step 5: Solve for x
    x = 16,360,185.39/4,578.69
  6. Step 6: Final answer
    x = 3,573.11

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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.