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Finding the Fourth Proportional to 5,766.36, 7,958.22 and 3,409.08

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Solution

The fourth proportional to 5,766.36, 7,958.22 and 3,409.08 is: 4,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.36 : 7,958.22 = 3,409.08 : x
  2. Step 2: Convert to fraction form
    5,766.36/7,958.22 = 3,409.08/x
  3. Step 3: Cross multiply
    5,766.36x = 7,958.22 × 3,409.08
  4. Step 4: Simplify right side
    5,766.36x = 27,130,208.64
  5. Step 5: Solve for x
    x = 27,130,208.64/5,766.36
  6. Step 6: Final answer
    x = 4,704.91

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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.