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Finding the Fourth Proportional to 4,164.39, 5,746.41 and 2,396.25

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Solution

The fourth proportional to 4,164.39, 5,746.41 and 2,396.25 is: 3,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.39 : 5,746.41 = 2,396.25 : x
  2. Step 2: Convert to fraction form
    4,164.39/5,746.41 = 2,396.25/x
  3. Step 3: Cross multiply
    4,164.39x = 5,746.41 × 2,396.25
  4. Step 4: Simplify right side
    4,164.39x = 13,769,834.96
  5. Step 5: Solve for x
    x = 13,769,834.96/4,164.39
  6. Step 6: Final answer
    x = 3,306.57

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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.