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Finding the Fourth Proportional to 4,322.16, 5,965.56 and 3,622.32

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Solution

The fourth proportional to 4,322.16, 5,965.56 and 3,622.32 is: 4,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.16 : 5,965.56 = 3,622.32 : x
  2. Step 2: Convert to fraction form
    4,322.16/5,965.56 = 3,622.32/x
  3. Step 3: Cross multiply
    4,322.16x = 5,965.56 × 3,622.32
  4. Step 4: Simplify right side
    4,322.16x = 21,609,167.30
  5. Step 5: Solve for x
    x = 21,609,167.30/4,322.16
  6. Step 6: Final answer
    x = 4,999.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.