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Finding the Fourth Proportional to 5,756.70, 8,634.96 and 2,832.87

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Solution

The fourth proportional to 5,756.70, 8,634.96 and 2,832.87 is: 4,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.70 : 8,634.96 = 2,832.87 : x
  2. Step 2: Convert to fraction form
    5,756.70/8,634.96 = 2,832.87/x
  3. Step 3: Cross multiply
    5,756.70x = 8,634.96 × 2,832.87
  4. Step 4: Simplify right side
    5,756.70x = 24,461,719.14
  5. Step 5: Solve for x
    x = 24,461,719.14/5,756.70
  6. Step 6: Final answer
    x = 4,249.26

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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.