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Finding the Fourth Proportional to 3,562.24, 4,918.08 and 2,819.20

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Solution

The fourth proportional to 3,562.24, 4,918.08 and 2,819.20 is: 3,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.24 : 4,918.08 = 2,819.20 : x
  2. Step 2: Convert to fraction form
    3,562.24/4,918.08 = 2,819.20/x
  3. Step 3: Cross multiply
    3,562.24x = 4,918.08 × 2,819.20
  4. Step 4: Simplify right side
    3,562.24x = 13,865,051.14
  5. Step 5: Solve for x
    x = 13,865,051.14/3,562.24
  6. Step 6: Final answer
    x = 3,892.23

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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.