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Finding the Fourth Proportional to 4,068.50, 5,614.53 and 2,205.50

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Solution

The fourth proportional to 4,068.50, 5,614.53 and 2,205.50 is: 3,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.50 : 5,614.53 = 2,205.50 : x
  2. Step 2: Convert to fraction form
    4,068.50/5,614.53 = 2,205.50/x
  3. Step 3: Cross multiply
    4,068.50x = 5,614.53 × 2,205.50
  4. Step 4: Simplify right side
    4,068.50x = 12,382,845.92
  5. Step 5: Solve for x
    x = 12,382,845.92/4,068.50
  6. Step 6: Final answer
    x = 3,043.59

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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.