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Finding the Fourth Proportional to 5,141.99, 7,712.01 and 2,506.85

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Solution

The fourth proportional to 5,141.99, 7,712.01 and 2,506.85 is: 3,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.99 : 7,712.01 = 2,506.85 : x
  2. Step 2: Convert to fraction form
    5,141.99/7,712.01 = 2,506.85/x
  3. Step 3: Cross multiply
    5,141.99x = 7,712.01 × 2,506.85
  4. Step 4: Simplify right side
    5,141.99x = 19,332,801.17
  5. Step 5: Solve for x
    x = 19,332,801.17/5,141.99
  6. Step 6: Final answer
    x = 3,759.79

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1.5x scale

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.