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Finding the Fourth Proportional to 4,842.64, 6,683.52 and 2,954.02

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Solution

The fourth proportional to 4,842.64, 6,683.52 and 2,954.02 is: 4,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.64 : 6,683.52 = 2,954.02 : x
  2. Step 2: Convert to fraction form
    4,842.64/6,683.52 = 2,954.02/x
  3. Step 3: Cross multiply
    4,842.64x = 6,683.52 × 2,954.02
  4. Step 4: Simplify right side
    4,842.64x = 19,743,251.75
  5. Step 5: Solve for x
    x = 19,743,251.75/4,842.64
  6. Step 6: Final answer
    x = 4,076.96

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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.