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Finding the Fourth Proportional to 5,766.84, 7,958.24 and 3,114.25

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Solution

The fourth proportional to 5,766.84, 7,958.24 and 3,114.25 is: 4,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.84 : 7,958.24 = 3,114.25 : x
  2. Step 2: Convert to fraction form
    5,766.84/7,958.24 = 3,114.25/x
  3. Step 3: Cross multiply
    5,766.84x = 7,958.24 × 3,114.25
  4. Step 4: Simplify right side
    5,766.84x = 24,783,898.75
  5. Step 5: Solve for x
    x = 24,783,898.75/5,766.84
  6. Step 6: Final answer
    x = 4,297.66

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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.