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Finding the Fourth Proportional to 4,963.68, 6,847.70 and 3,074.76

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Solution

The fourth proportional to 4,963.68, 6,847.70 and 3,074.76 is: 4,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.68 : 6,847.70 = 3,074.76 : x
  2. Step 2: Convert to fraction form
    4,963.68/6,847.70 = 3,074.76/x
  3. Step 3: Cross multiply
    4,963.68x = 6,847.70 × 3,074.76
  4. Step 4: Simplify right side
    4,963.68x = 21,055,018.68
  5. Step 5: Solve for x
    x = 21,055,018.68/4,963.68
  6. Step 6: Final answer
    x = 4,241.82

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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.