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Finding the Fourth Proportional to 5,242.12, 7,863.96 and 2,776.30

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Solution

The fourth proportional to 5,242.12, 7,863.96 and 2,776.30 is: 4,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.12 : 7,863.96 = 2,776.30 : x
  2. Step 2: Convert to fraction form
    5,242.12/7,863.96 = 2,776.30/x
  3. Step 3: Cross multiply
    5,242.12x = 7,863.96 × 2,776.30
  4. Step 4: Simplify right side
    5,242.12x = 21,832,712.15
  5. Step 5: Solve for x
    x = 21,832,712.15/5,242.12
  6. Step 6: Final answer
    x = 4,164.86

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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.