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Finding the Fourth Proportional to 4,197.59, 5,792.75 and 2,309.25

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Solution

The fourth proportional to 4,197.59, 5,792.75 and 2,309.25 is: 3,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.59 : 5,792.75 = 2,309.25 : x
  2. Step 2: Convert to fraction form
    4,197.59/5,792.75 = 2,309.25/x
  3. Step 3: Cross multiply
    4,197.59x = 5,792.75 × 2,309.25
  4. Step 4: Simplify right side
    4,197.59x = 13,376,896.39
  5. Step 5: Solve for x
    x = 13,376,896.39/4,197.59
  6. Step 6: Final answer
    x = 3,186.81

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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.