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Finding the Fourth Proportional to 4,200.49, 6,302.01 and 1,278.82

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Solution

The fourth proportional to 4,200.49, 6,302.01 and 1,278.82 is: 1,918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.49 : 6,302.01 = 1,278.82 : x
  2. Step 2: Convert to fraction form
    4,200.49/6,302.01 = 1,278.82/x
  3. Step 3: Cross multiply
    4,200.49x = 6,302.01 × 1,278.82
  4. Step 4: Simplify right side
    4,200.49x = 8,059,136.43
  5. Step 5: Solve for x
    x = 8,059,136.43/4,200.49
  6. Step 6: Final answer
    x = 1,918.62

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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.