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Finding the Fourth Proportional to 4,968.96, 6,858 and 2,874.30

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Solution

The fourth proportional to 4,968.96, 6,858 and 2,874.30 is: 3,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.96 : 6,858 = 2,874.30 : x
  2. Step 2: Convert to fraction form
    4,968.96/6,858 = 2,874.30/x
  3. Step 3: Cross multiply
    4,968.96x = 6,858 × 2,874.30
  4. Step 4: Simplify right side
    4,968.96x = 19,711,949.40
  5. Step 5: Solve for x
    x = 19,711,949.40/4,968.96
  6. Step 6: Final answer
    x = 3,967.02

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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.