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Finding the Fourth Proportional to 5,626.13, 7,764.05 and 3,268.42

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Solution

The fourth proportional to 5,626.13, 7,764.05 and 3,268.42 is: 4,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.13 : 7,764.05 = 3,268.42 : x
  2. Step 2: Convert to fraction form
    5,626.13/7,764.05 = 3,268.42/x
  3. Step 3: Cross multiply
    5,626.13x = 7,764.05 × 3,268.42
  4. Step 4: Simplify right side
    5,626.13x = 25,376,165.06
  5. Step 5: Solve for x
    x = 25,376,165.06/5,626.13
  6. Step 6: Final answer
    x = 4,510.42

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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.