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Finding the Fourth Proportional to 3,310.36, 4,966.62 and 1,771

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Solution

The fourth proportional to 3,310.36, 4,966.62 and 1,771 is: 2,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.36 : 4,966.62 = 1,771 : x
  2. Step 2: Convert to fraction form
    3,310.36/4,966.62 = 1,771/x
  3. Step 3: Cross multiply
    3,310.36x = 4,966.62 × 1,771
  4. Step 4: Simplify right side
    3,310.36x = 8,795,884.02
  5. Step 5: Solve for x
    x = 8,795,884.02/3,310.36
  6. Step 6: Final answer
    x = 2,657.08

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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.