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Finding the Fourth Proportional to 4,382.40, 6,578.40 and 2,433.60

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Solution

The fourth proportional to 4,382.40, 6,578.40 and 2,433.60 is: 3,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.40 : 6,578.40 = 2,433.60 : x
  2. Step 2: Convert to fraction form
    4,382.40/6,578.40 = 2,433.60/x
  3. Step 3: Cross multiply
    4,382.40x = 6,578.40 × 2,433.60
  4. Step 4: Simplify right side
    4,382.40x = 16,009,194.24
  5. Step 5: Solve for x
    x = 16,009,194.24/4,382.40
  6. Step 6: Final answer
    x = 3,653.07

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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.