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Finding the Fourth Proportional to 3,335.16, 4,996.98 and 3,214.20

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Solution

The fourth proportional to 3,335.16, 4,996.98 and 3,214.20 is: 4,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.16 : 4,996.98 = 3,214.20 : x
  2. Step 2: Convert to fraction form
    3,335.16/4,996.98 = 3,214.20/x
  3. Step 3: Cross multiply
    3,335.16x = 4,996.98 × 3,214.20
  4. Step 4: Simplify right side
    3,335.16x = 16,061,293.12
  5. Step 5: Solve for x
    x = 16,061,293.12/3,335.16
  6. Step 6: Final answer
    x = 4,815.75

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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.