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Finding the Fourth Proportional to 4,185.78, 6,272 and 2,211.32

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Solution

The fourth proportional to 4,185.78, 6,272 and 2,211.32 is: 3,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.78 : 6,272 = 2,211.32 : x
  2. Step 2: Convert to fraction form
    4,185.78/6,272 = 2,211.32/x
  3. Step 3: Cross multiply
    4,185.78x = 6,272 × 2,211.32
  4. Step 4: Simplify right side
    4,185.78x = 13,869,399.04
  5. Step 5: Solve for x
    x = 13,869,399.04/4,185.78
  6. Step 6: Final answer
    x = 3,313.46

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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.