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Finding the Fourth Proportional to 4,543.94, 6,817.11 and 2,857.30

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Solution

The fourth proportional to 4,543.94, 6,817.11 and 2,857.30 is: 4,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.94 : 6,817.11 = 2,857.30 : x
  2. Step 2: Convert to fraction form
    4,543.94/6,817.11 = 2,857.30/x
  3. Step 3: Cross multiply
    4,543.94x = 6,817.11 × 2,857.30
  4. Step 4: Simplify right side
    4,543.94x = 19,478,528.40
  5. Step 5: Solve for x
    x = 19,478,528.40/4,543.94
  6. Step 6: Final answer
    x = 4,286.70

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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.