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Finding the Fourth Proportional to 3,711.75, 5,562.75 and 2,069.07

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Solution

The fourth proportional to 3,711.75, 5,562.75 and 2,069.07 is: 3,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.75 : 5,562.75 = 2,069.07 : x
  2. Step 2: Convert to fraction form
    3,711.75/5,562.75 = 2,069.07/x
  3. Step 3: Cross multiply
    3,711.75x = 5,562.75 × 2,069.07
  4. Step 4: Simplify right side
    3,711.75x = 11,509,719.14
  5. Step 5: Solve for x
    x = 11,509,719.14/3,711.75
  6. Step 6: Final answer
    x = 3,100.89

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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.