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Finding the Fourth Proportional to 4,197.76, 5,792.88 and 2,334.76

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Solution

The fourth proportional to 4,197.76, 5,792.88 and 2,334.76 is: 3,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.76 : 5,792.88 = 2,334.76 : x
  2. Step 2: Convert to fraction form
    4,197.76/5,792.88 = 2,334.76/x
  3. Step 3: Cross multiply
    4,197.76x = 5,792.88 × 2,334.76
  4. Step 4: Simplify right side
    4,197.76x = 13,524,984.51
  5. Step 5: Solve for x
    x = 13,524,984.51/4,197.76
  6. Step 6: Final answer
    x = 3,221.95

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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.