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Finding the Fourth Proportional to 5,602.97, 8,396.61 and 3,105.31

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Solution

The fourth proportional to 5,602.97, 8,396.61 and 3,105.31 is: 4,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.97 : 8,396.61 = 3,105.31 : x
  2. Step 2: Convert to fraction form
    5,602.97/8,396.61 = 3,105.31/x
  3. Step 3: Cross multiply
    5,602.97x = 8,396.61 × 3,105.31
  4. Step 4: Simplify right side
    5,602.97x = 26,074,101.19
  5. Step 5: Solve for x
    x = 26,074,101.19/5,602.97
  6. Step 6: Final answer
    x = 4,653.62

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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.