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Finding the Fourth Proportional to 4,700.82, 6,487.56 and 2,711.46

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Solution

The fourth proportional to 4,700.82, 6,487.56 and 2,711.46 is: 3,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.82 : 6,487.56 = 2,711.46 : x
  2. Step 2: Convert to fraction form
    4,700.82/6,487.56 = 2,711.46/x
  3. Step 3: Cross multiply
    4,700.82x = 6,487.56 × 2,711.46
  4. Step 4: Simplify right side
    4,700.82x = 17,590,759.44
  5. Step 5: Solve for x
    x = 17,590,759.44/4,700.82
  6. Step 6: Final answer
    x = 3,742.06

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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.