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Finding the Fourth Proportional to 5,758.14, 7,949.14 and 3,771.74

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Solution

The fourth proportional to 5,758.14, 7,949.14 and 3,771.74 is: 5,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.14 : 7,949.14 = 3,771.74 : x
  2. Step 2: Convert to fraction form
    5,758.14/7,949.14 = 3,771.74/x
  3. Step 3: Cross multiply
    5,758.14x = 7,949.14 × 3,771.74
  4. Step 4: Simplify right side
    5,758.14x = 29,982,089.30
  5. Step 5: Solve for x
    x = 29,982,089.30/5,758.14
  6. Step 6: Final answer
    x = 5,206.91

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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.