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Finding the Fourth Proportional to 3,310.90, 4,966.35 and 3,168.70

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Solution

The fourth proportional to 3,310.90, 4,966.35 and 3,168.70 is: 4,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.90 : 4,966.35 = 3,168.70 : x
  2. Step 2: Convert to fraction form
    3,310.90/4,966.35 = 3,168.70/x
  3. Step 3: Cross multiply
    3,310.90x = 4,966.35 × 3,168.70
  4. Step 4: Simplify right side
    3,310.90x = 15,736,873.25
  5. Step 5: Solve for x
    x = 15,736,873.25/3,310.90
  6. Step 6: Final answer
    x = 4,753.05

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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.