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Finding the Fourth Proportional to 4,980.42, 6,873.08 and 2,742.30

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Solution

The fourth proportional to 4,980.42, 6,873.08 and 2,742.30 is: 3,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.42 : 6,873.08 = 2,742.30 : x
  2. Step 2: Convert to fraction form
    4,980.42/6,873.08 = 2,742.30/x
  3. Step 3: Cross multiply
    4,980.42x = 6,873.08 × 2,742.30
  4. Step 4: Simplify right side
    4,980.42x = 18,848,033.57
  5. Step 5: Solve for x
    x = 18,848,033.57/4,980.42
  6. Step 6: Final answer
    x = 3,784.43

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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.