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Finding the Fourth Proportional to 3,563.92, 4,918.60 and 2,166.64

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Solution

The fourth proportional to 3,563.92, 4,918.60 and 2,166.64 is: 2,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.92 : 4,918.60 = 2,166.64 : x
  2. Step 2: Convert to fraction form
    3,563.92/4,918.60 = 2,166.64/x
  3. Step 3: Cross multiply
    3,563.92x = 4,918.60 × 2,166.64
  4. Step 4: Simplify right side
    3,563.92x = 10,656,835.50
  5. Step 5: Solve for x
    x = 10,656,835.50/3,563.92
  6. Step 6: Final answer
    x = 2,990.20

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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.