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Finding the Fourth Proportional to 4,197.12, 5,791.80 and 2,334

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Solution

The fourth proportional to 4,197.12, 5,791.80 and 2,334 is: 3,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.12 : 5,791.80 = 2,334 : x
  2. Step 2: Convert to fraction form
    4,197.12/5,791.80 = 2,334/x
  3. Step 3: Cross multiply
    4,197.12x = 5,791.80 × 2,334
  4. Step 4: Simplify right side
    4,197.12x = 13,518,061.20
  5. Step 5: Solve for x
    x = 13,518,061.20/4,197.12
  6. Step 6: Final answer
    x = 3,220.79

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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.