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Finding the Fourth Proportional to 5,719.70, 8,571.35 and 3,249.32

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Solution

The fourth proportional to 5,719.70, 8,571.35 and 3,249.32 is: 4,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.70 : 8,571.35 = 3,249.32 : x
  2. Step 2: Convert to fraction form
    5,719.70/8,571.35 = 3,249.32/x
  3. Step 3: Cross multiply
    5,719.70x = 8,571.35 × 3,249.32
  4. Step 4: Simplify right side
    5,719.70x = 27,851,024.25
  5. Step 5: Solve for x
    x = 27,851,024.25/5,719.70
  6. Step 6: Final answer
    x = 4,869.31

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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.