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Finding the Fourth Proportional to 4,382.40, 6,573.60 and 4,212.30

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Solution

The fourth proportional to 4,382.40, 6,573.60 and 4,212.30 is: 6,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.40 : 6,573.60 = 4,212.30 : x
  2. Step 2: Convert to fraction form
    4,382.40/6,573.60 = 4,212.30/x
  3. Step 3: Cross multiply
    4,382.40x = 6,573.60 × 4,212.30
  4. Step 4: Simplify right side
    4,382.40x = 27,689,975.28
  5. Step 5: Solve for x
    x = 27,689,975.28/4,382.40
  6. Step 6: Final answer
    x = 6,318.45

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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.