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Finding the Fourth Proportional to 4,261.76, 6,387.76 and 1,792.88

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Solution

The fourth proportional to 4,261.76, 6,387.76 and 1,792.88 is: 2,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.76 : 6,387.76 = 1,792.88 : x
  2. Step 2: Convert to fraction form
    4,261.76/6,387.76 = 1,792.88/x
  3. Step 3: Cross multiply
    4,261.76x = 6,387.76 × 1,792.88
  4. Step 4: Simplify right side
    4,261.76x = 11,452,487.15
  5. Step 5: Solve for x
    x = 11,452,487.15/4,261.76
  6. Step 6: Final answer
    x = 2,687.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.