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Finding the Fourth Proportional to 4,668.16, 7,003.68 and 2,202.88

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Solution

The fourth proportional to 4,668.16, 7,003.68 and 2,202.88 is: 3,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.16 : 7,003.68 = 2,202.88 : x
  2. Step 2: Convert to fraction form
    4,668.16/7,003.68 = 2,202.88/x
  3. Step 3: Cross multiply
    4,668.16x = 7,003.68 × 2,202.88
  4. Step 4: Simplify right side
    4,668.16x = 15,428,266.60
  5. Step 5: Solve for x
    x = 15,428,266.60/4,668.16
  6. Step 6: Final answer
    x = 3,305.00

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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.