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Finding the Fourth Proportional to 4,487.98, 6,167.43 and 4,282.18

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Solution

The fourth proportional to 4,487.98, 6,167.43 and 4,282.18 is: 5,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.98 : 6,167.43 = 4,282.18 : x
  2. Step 2: Convert to fraction form
    4,487.98/6,167.43 = 4,282.18/x
  3. Step 3: Cross multiply
    4,487.98x = 6,167.43 × 4,282.18
  4. Step 4: Simplify right side
    4,487.98x = 26,410,045.40
  5. Step 5: Solve for x
    x = 26,410,045.40/4,487.98
  6. Step 6: Final answer
    x = 5,884.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.