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Finding the Fourth Proportional to 4,197.74, 5,792.10 and 2,380.76

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Solution

The fourth proportional to 4,197.74, 5,792.10 and 2,380.76 is: 3,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.74 : 5,792.10 = 2,380.76 : x
  2. Step 2: Convert to fraction form
    4,197.74/5,792.10 = 2,380.76/x
  3. Step 3: Cross multiply
    4,197.74x = 5,792.10 × 2,380.76
  4. Step 4: Simplify right side
    4,197.74x = 13,789,571.04
  5. Step 5: Solve for x
    x = 13,789,571.04/4,197.74
  6. Step 6: Final answer
    x = 3,285.00

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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.