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Finding the Fourth Proportional to 4,544.64, 6,817.77 and 1,622.16

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Solution

The fourth proportional to 4,544.64, 6,817.77 and 1,622.16 is: 2,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.64 : 6,817.77 = 1,622.16 : x
  2. Step 2: Convert to fraction form
    4,544.64/6,817.77 = 1,622.16/x
  3. Step 3: Cross multiply
    4,544.64x = 6,817.77 × 1,622.16
  4. Step 4: Simplify right side
    4,544.64x = 11,059,513.78
  5. Step 5: Solve for x
    x = 11,059,513.78/4,544.64
  6. Step 6: Final answer
    x = 2,433.53

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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.