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Finding the Fourth Proportional to 4,874.96, 6,727.56 and 2,779.28

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Solution

The fourth proportional to 4,874.96, 6,727.56 and 2,779.28 is: 3,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.96 : 6,727.56 = 2,779.28 : x
  2. Step 2: Convert to fraction form
    4,874.96/6,727.56 = 2,779.28/x
  3. Step 3: Cross multiply
    4,874.96x = 6,727.56 × 2,779.28
  4. Step 4: Simplify right side
    4,874.96x = 18,697,772.96
  5. Step 5: Solve for x
    x = 18,697,772.96/4,874.96
  6. Step 6: Final answer
    x = 3,835.47

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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.