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Finding the Fourth Proportional to 5,118.83, 7,676.81 and 1,420.18

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Solution

The fourth proportional to 5,118.83, 7,676.81 and 1,420.18 is: 2,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.83 : 7,676.81 = 1,420.18 : x
  2. Step 2: Convert to fraction form
    5,118.83/7,676.81 = 1,420.18/x
  3. Step 3: Cross multiply
    5,118.83x = 7,676.81 × 1,420.18
  4. Step 4: Simplify right side
    5,118.83x = 10,902,439.05
  5. Step 5: Solve for x
    x = 10,902,439.05/5,118.83
  6. Step 6: Final answer
    x = 2,129.87

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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.