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Finding the Fourth Proportional to 5,808.63, 8,714 and 2,116.05

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Solution

The fourth proportional to 5,808.63, 8,714 and 2,116.05 is: 3,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.63 : 8,714 = 2,116.05 : x
  2. Step 2: Convert to fraction form
    5,808.63/8,714 = 2,116.05/x
  3. Step 3: Cross multiply
    5,808.63x = 8,714 × 2,116.05
  4. Step 4: Simplify right side
    5,808.63x = 18,439,259.70
  5. Step 5: Solve for x
    x = 18,439,259.70/5,808.63
  6. Step 6: Final answer
    x = 3,174.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.