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Finding the Fourth Proportional to 5,716.99, 7,889.87 and 3,199.35

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Solution

The fourth proportional to 5,716.99, 7,889.87 and 3,199.35 is: 4,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.99 : 7,889.87 = 3,199.35 : x
  2. Step 2: Convert to fraction form
    5,716.99/7,889.87 = 3,199.35/x
  3. Step 3: Cross multiply
    5,716.99x = 7,889.87 × 3,199.35
  4. Step 4: Simplify right side
    5,716.99x = 25,242,475.31
  5. Step 5: Solve for x
    x = 25,242,475.31/5,716.99
  6. Step 6: Final answer
    x = 4,415.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.