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Finding the Fourth Proportional to 4,305.80, 6,463.56 and 2,847.80

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Solution

The fourth proportional to 4,305.80, 6,463.56 and 2,847.80 is: 4,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.80 : 6,463.56 = 2,847.80 : x
  2. Step 2: Convert to fraction form
    4,305.80/6,463.56 = 2,847.80/x
  3. Step 3: Cross multiply
    4,305.80x = 6,463.56 × 2,847.80
  4. Step 4: Simplify right side
    4,305.80x = 18,406,926.17
  5. Step 5: Solve for x
    x = 18,406,926.17/4,305.80
  6. Step 6: Final answer
    x = 4,274.91

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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.